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Lottery Blackbody Radiation

Topic closed. 39 replies. Last post 4 months ago by Sunglasses.

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JADELottery's avatar - MeAtWork 03.PNG
The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3675 Posts
Offline
Posted: July 29, 2016, 8:16 pm - IP Logged

The Mega Millions and Powerball coefficients worked out as follows.

 

One Million Tracked # Selections

Coefficients

Mega Millions

Powerball

P5

MM

P5

PB

α

-25071.1661813529

-3222.36292582329

-16462.2594409085

-17530.109547895

β

561.935259517947

44.842980648871

348.902303712761

130.283721952551

γ

-2.55343571484057

0.19511648743907

-0.609658887158907

0.289651365681885

δ

-0.0586101552352585

-0.0716974442658064

-0.070659159801784

-0.042028524202868

 

 

Continues ...

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.
Use at your own risk.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

    JADELottery's avatar - MeAtWork 03.PNG
    The Quantum Master
    West Concord, MN
    United States
    Member #21
    December 7, 2001
    3675 Posts
    Offline
    Posted: July 29, 2016, 8:22 pm - IP Logged

    Some draw points of interest for Mega Millions and Powerball.

    ·

    Mega Millions

    Powerball

    P5

    MM

    P5

    PB

    Minimum

    32

    15

    27

    35

    Peak

    63.06752387

    40.15977315

    56.95323841

    83.21506128

    Mode

    64

    40

    55

    86

    Median

    69

    46

    62

    94

    Mean

    71.89412

    49.77080

    64.98075

    100.02987

    Maximum

    215

    193

    200

    378

     

    Keep in mind these are for the most current matrix for each and draws should be started at the beginning of that matrix introduction.

    Continues ...

    Presented 'AS IS' and for Entertainment Purposes Only.
    Any gain or loss is your responsibility.
    Use at your own risk.

    Order is a Subset of Chaos
    Knowledge is Beyond Belief
    Wisdom is Not Censored
    Douglas Paul Smallish
    Jehocifer

      Avatar

      United States
      Member #139779
      March 3, 2013
      115 Posts
      Offline
      Posted: July 29, 2016, 8:22 pm - IP Logged

      I'd suggest to set the maximum to 140 to lifetime of the game.

      I could be wrong here but it looks like this data is pointing out the ideal number of games to look back on.

        Sunglasses's avatar - nicebear
        Zaperlopopotam
        Belgium
        Member #173932
        March 26, 2016
        961 Posts
        Offline
        Posted: July 29, 2016, 8:27 pm - IP Logged

        I could be wrong here but it looks like this data is pointing out the ideal number of games to look back on.

        No, maximum is between 10 and number of drawings when there were 10 or more drawings. A number can set out for all drawings. 140 is mathematical average.

        If the game stops after 100 games, 140 is not reached. If the game lasts 200 drawings and 1 wasn't drawn, it is not 200.

          Avatar

          United States
          Member #139779
          March 3, 2013
          115 Posts
          Offline
          Posted: July 29, 2016, 8:46 pm - IP Logged

          No, maximum is between 10 and number of drawings when there were 10 or more drawings. A number can set out for all drawings. 140 is mathematical average.

          If the game stops after 100 games, 140 is not reached. If the game lasts 200 drawings and 1 wasn't drawn, it is not 200.

          Thank you for the clarification on this. I could still be framing this idea all wrong but this is still pointing to a given amount of game history? For example when I try to figure out how many games of history to use in Mega Millions  I divide the number of numbers picked in the first pool which is 5 digits by the largest number found in the first pool which is 75. Then multiply that by 2 which... 75/5=15x2=30 this gives each number the opportunity to appear twice. This new formula seems to me to give a more accurate history to look at so when I try to figure my frequency/hot/cold numbers I would get better results. Like I said I could be way off on this but thats what I see at first look.

            JADELottery's avatar - MeAtWork 03.PNG
            The Quantum Master
            West Concord, MN
            United States
            Member #21
            December 7, 2001
            3675 Posts
            Offline
            Posted: July 29, 2016, 9:02 pm - IP Logged

            Have to repost these.

            Got the Powerball columns swapped and a quirk in Excel counting.

             

            One Million Tracked # Selections

            Draws

            Mega Millions

            Powerball

            P5

            MM

            P5

            PB

            0

            0

            0

            0

            0

            1

            0

            0

            0

            0

            2

            0

            0

            0

            0

            3

            0

            0

            0

            0

            4

            0

            0

            0

            0

            5

            0

            0

            0

            0

            6

            0

            0

            0

            0

            7

            0

            0

            0

            0

            8

            0

            0

            0

            0

            9

            0

            0

            0

            0

            10

            0

            0

            0

            0

            11

            0

            0

            0

            0

            12

            0

            0

            0

            0

            13

            0

            0

            0

            0

            14

            0

            0

            0

            0

            15

            0

            6

            0

            0

            16

            0

            21

            0

            0

            17

            0

            53

            0

            0

            18

            0

            168

            0

            0

            19

            0

            470

            0

            0

            20

            0

            982

            0

            0

            21

            0

            1671

            0

            0

            22

            0

            2511

            0

            0

            23

            0

            4031

            0

            0

            24

            0

            5264

            0

            0

            25

            0

            7190

            0

            0

            26

            0

            8643

            0

            3

            27

            0

            11155

            0

            8

            28

            0

            12608

            0

            11

            29

            0

            15605

            0

            32

            30

            0

            17408

            0

            61

            31

            8

            19214

            0

            106

            32

            8

            20884

            0

            245

            33

            25

            22715

            0

            425

            34

            88

            23963

            0

            747

            35

            134

            25091

            12

            1133

            36

            285

            26388

            0

            1786

            37

            366

            27319

            36

            2575

            38

            718

            27779

            24

            3702

            39

            1006

            27975

            70

            4729

            40

            1581

            28542

            146

            6435

            41

            2064

            28161

            127

            7556

            42

            2869

            28541

            321

            9333

            43

            3732

            28112

            302

            11083

            44

            4865

            27377

            442

            13536

            45

            6270

            27127

            537

            15633

            46

            7434

            25827

            1030

            16868

            47

            8842

            25596

            913

            18930

            48

            10051

            24616

            1338

            21102

            49

            12102

            23820

            1356

            22873

            50

            13269

            22724

            1891

            23745

            51

            15383

            21957

            1978

            25158

            52

            16758

            21502

            2566

            26565

            53

            18215

            20001

            2995

            27424

            54

            20223

            19208

            3253

            27559

            55

            20613

            17998

            3931

            28846

            56

            22067

            17909

            4051

            28569

            57

            23735

            17046

            5022

            28395

            58

            24333

            15877

            5282

            28384

            59

            24971

            15429

            5979

            27849

            60

            25600

            13804

            6655

            26908

            61

            26338

            13253

            7002

            27360

            62

            25844

            12853

            7782

            26291

            63

            26228

            11885

            8786

            25557

            64

            26364

            11389

            9426

            24957

            65

            25300

            10759

            9427

            24921

            66

            25959

            10012

            10125

            23606

            67

            25278

            9633

            10666

            21904

            68

            25136

            8838

            11952

            22117

            69

            24567

            8398

            11962

            20746

            70

            24367

            8143

            12203

            19513

            71

            23037

            7349

            13058

            18453

            72

            22396

            6791

            13282

            18200

            73

            21372

            6413

            13705

            16654

            74

            20769

            6228

            13050

            16193

            75

            19621

            5888

            14416

            15325

            76

            19264

            5298

            14426

            14519

            77

            17935

            5123

            14956

            13719

            78

            17884

            4603

            15210

            12327

            79

            16991

            4450

            15250

            12096

            80

            15732

            4117

            15151

            10988

            81

            15975

            3858

            15340

            10298

            82

            14931

            3754

            15700

            9727

            83

            14226

            3311

            15412

            8978

            84

            12918

            3115

            15023

            8675

            85

            12416

            2772

            15243

            8106

            86

            11848

            2732

            15816

            7546

            87

            11129

            2532

            15356

            7212

            88

            9995

            2440

            15153

            6760

            89

            9565

            2329

            15671

            6324

            90

            9433

            2022

            14222

            5665

            91

            8685

            1988

            14353

            5360

            92

            8218

            1776

            14211

            4952

            93

            7697

            1704

            14911

            4703

            94

            7062

            1496

            14660

            4690

            95

            6969

            1548

            13699

            4195

            96

            6370

            1311

            13853

            3707

            97

            5987

            1413

            14235

            3382

            98

            5797

            1246

            13164

            3186

            99

            5257

            1212

            13521

            3193

            100

            4945

            1039

            12957

            2844

            101

            4526

            1019

            12246

            2460

            102

            4364

            816

            12244

            2358

            103

            4094

            839

            11867

            2268

            104

            3910

            909

            12305

            2212

            105

            3768

            730

            11564

            1983

            106

            3467

            703

            10381

            1842

            107

            3026

            593

            11491

            1728

            108

            3069

            590

            11378

            1727

            109

            2771

            609

            10832

            1401

            110

            2482

            509

            10758

            1390

            111

            2252

            455

            9948

            1268

            112

            1951

            450

            9738

            1072

            113

            2022

            439

            9189

            1190

            114

            2089

            414

            9481

            1063

            115

            2115

            441

            8957

            859

            116

            1844

            350

            8550

            913

            117

            1715

            263

            8031

            741

            118

            1524

            331

            8612

            759

            119

            1491

            320

            7686

            673

            120

            1272

            233

            7515

            628

            121

            1216

            266

            7193

            549

            122

            1230

            279

            7464

            491

            123

            1201

            240

            6885

            572

            124

            1024

            183

            6659

            483

            125

            1012

            162

            6443

            425

            126

            849

            204

            6716

            381

            127

            832

            121

            5940

            401

            128

            787

            129

            5677

            327

            129

            628

            139

            5766

            329

            130

            724

            119

            5523

            287

            131

            707

            109

            5600

            256

            132

            588

            138

            5587

            295

            133

            466

            100

            5199

            230

            134

            501

            85

            4683

            176

            135

            425

            147

            4842

            324

            136

            389

            91

            4488

            129

            137

            429

            60

            4078

            142

            138

            394

            110

            4237

            191

            139

            331

            109

            4063

            137

            140

            313

            92

            3840

            131

            141

            266

            58

            3827

            177

            142

            250

            68

            3524

            70

            143

            292

            47

            3441

            87

            144

            306

            32

            3258

            118

            145

            262

            24

            3446

            92

            146

            229

            31

            3044

            103

            147

            152

            41

            3051

            134

            148

            233

            28

            2744

            106

            149

            203

            31

            2585

            77

            150

            204

            13

            2792

            103

            151

            170

            37

            2739

            71

            152

            164

            21

            2628

            72

            153

            163

            25

            2037

            43

            154

            155

            45

            2307

            81

            155

            131

            22

            2511

            45

            156

            98

            10

            2286

            22

            157

            48

            13

            2255

            33

            158

            96

            21

            1909

            36

            159

            94

            17

            1965

            44

            160

            84

            20

            1939

            30

            161

            66

            25

            1702

            26

            162

            80

            5

            1677

            19

            163

            71

            16

            1575

            30

            164

            80

            13

            1482

            27

            165

            62

            12

            1424

            11

            166

            50

            4

            1646

            28

            167

            76

            13

            1490

            22

            168

            44

            0

            1326

            10

            169

            67

            4

            1340

            4

            170

            40

            2

            1303

            17

            171

            25

            16

            1276

            17

            172

            27

            0

            1284

            23

            173

            42

            4

            1140

            6

            174

            21

            0

            1192

            7

            175

            36

            4

            1026

            6

            176

            24

            0

            928

            17

            177

            35

            2

            984

            7

            178

            30

            4

            918

            6

            179

            33

            6

            831

            8

            180

            23

            15

            777

            22

            181

            21

            4

            696

            9

            182

            5

            4

            747

            12

            183

            16

            2

            809

            0

            184

            12

            0

            867

            7

            185

            20

            0

            947

            10

            186

            28

            4

            670

            0

            187

            7

            0

            609

            8

            188

            4

            2

            507

            4

            189

            6

            3

            770

            0

            190

            18

            9

            436

            4

            191

            7

            4

            523

            8

            192

            0

            0

            541

            0

            193

            4

            10

            504

            4

            194

            4

            0

            473

            5

            195

            16

            0

            589

            0

            196

            5

            0

            353

            0

            197

            0

            0

            567

            0

            198

            6

            0

            546

            3

            199

            0

            0

            321

            0

            200

            3

            0

            459

            5

            201

            8

            2

            322

            4

            202

            0

            0

            237

            0

            203

            0

            0

            318

            0

            204

            4

            0

            243

            3

            205

            0

            0

            366

            0

            206

            4

            0

            345

            0

            207

            4

            0

            309

            0

            208

            4

            0

            375

            0

            209

            4

            0

            252

            3

            210

            3

            0

            365

            0

            211

            0

            0

            159

            0

            212

            5

            0

            259

            0

            213

            0

            0

            255

            0

            214

            8

            0

            176

            0

            215

            10

            0

            207

            0

            216

            0

            0

            208

            0

            217

            0

            0

            232

            0

            218

            0

            0

            326

            0

            219

            0

            0

            191

            0

            220

            0

            0

            156

            0

            221

            0

            0

            118

            0

            222

            0

            0

            252

            0

            223

            4

            0

            169

            0

            224

            0

            0

            156

            0

            225

            0

            0

            237

            0

            226

            0

            0

            179

            0

            227

            0

            0

            144

            0

            228

            5

            0

            69

            0

            229

            0

            0

            196

            0

            230

            0

            0

            94

            0

            231

            0

            0

            117

            0

            232

            0

            0

            82

            0

            233

            0

            0

            108

            0

            234

            0

            0

            61

            0

            235

            5

            0

            84

            0

            236

            0

            0

            164

            0

            237

            0

            0

            149

            0

            238

            0

            0

            120

            0

            239

            0

            0

            135

            0

            240

            0

            0

            143

            0

            241

            0

            0

            127

            0

            242

            0

            0

            25

            0

            243

            0

            0

            83

            0

            244

            0

            0

            47

            0

            245

            0

            2

            58

            0

            246

            0

            0

            58

            0

            247

            0

            0

            71

            0

            248

            0

            0

            109

            0

            249

            0

            0

            59

            0

            250

            0

            0

            24

            0

            251

            0

            0

            24

            0

            252

            0

            0

            33

            0

            253

            0

            0

            49

            0

            254

            0

            0

            48

            0

            255

            0

            0

            49

            0

            256

            0

            0

            38

            0

            257

            0

            0

            35

            0

            258

            0

            0

            35

            0

            259

            0

            0

            84

            0

            260

            0

            0

            48

            0

            261

            0

            0

            37

            0

            262

            0

            0

            37

            0

            263

            0

            0

            12

            0

            264

            0

            0

            92

            0

            265

            0

            0

            58

            0

            266

            0

            0

            24

            0

            267

            0

            0

            23

            0

            268

            0

            0

            35

            0

            269

            0

            0

            23

            0

            270

            0

            0

            12

            0

            271

            0

            0

            23

            0

            272

            0

            0

            0

            0

            273

            0

            0

            24

            0

            274

            0

            0

            11

            0

            275

            0

            0

            12

            0

            276

            0

            0

            35

            0

            277

            0

            0

            23

            0

            278

            0

            0

            12

            0

            279

            0

            0

            23

            0

            280

            0

            0

            12

            0

            281

            0

            0

            21

            0

            282

            0

            0

            0

            0

            283

            0

            0

            0

            0

            284

            0

            0

            25

            0

            285

            0

            0

            12

            0

            286

            0

            0

            37

            0

            287

            0

            0

            0

            0

            288

            0

            0

            23

            0

            289

            0

            0

            45

            0

            290

            0

            0

            12

            0

            291

            0

            0

            0

            0

            292

            0

            0

            25

            0

            293

            0

            0

            24

            0

            294

            0

            0

            12

            0

            295

            0

            0

            0

            0

            296

            0

            0

            12

            0

            297

            0

            0

            12

            0

            298

            0

            0

            0

            0

            299

            0

            0

            11

            0

            300

            0

            0

            11

            0

            301

            0

            0

            0

            0

            302

            0

            0

            0

            0

            303

            0

            0

            0

            0

            304

            0

            0

            25

            0

            305

            0

            0

            0

            0

            306

            0

            0

            11

            0

            307

            0

            0

            12

            0

            308

            0

            0

            11

            0

            309

            0

            0

            0

            0

            310

            0

            0

            24

            0

            311

            0

            0

            12

            0

            312

            0

            0

            0

            0

            313

            0

            0

            0

            0

            314

            0

            0

            13

            0

            315

            0

            0

            12

            0

            316

            0

            0

            0

            0

            317

            0

            0

            0

            0

            318

            0

            0

            13

            0

            319

            0

            0

            0

            0

            320

            0

            0

            0

            0

            321

            0

            0

            0

            0

            322

            0

            0

            0

            0

            323

            0

            0

            0

            0

            324

            0

            0

            0

            0

            325

            0

            0

            0

            0

            326

            0

            0

            0

            0

            327

            0

            0

            12

            0

            328

            0

            0

            13

            0

            329

            0

            0

            0

            0

            330

            0

            0

            0

            0

            331

            0

            0

            0

            0

            332

            0

            0

            0

            0

            333

            0

            0

            0

            0

            334

            0

            0

            0

            0

            335

            0

            0

            12

            0

            336

            0

            0

            0

            0

            337

            0

            0

            0

            0

            338

            0

            0

            11

            0

            339

            0

            0

            12

            0

            340

            0

            0

            0

            0

            341

            0

            0

            0

            0

            342

            0

            0

            0

            0

            343

            0

            0

            0

            0

            344

            0

            0

            0

            0

            345

            0

            0

            0

            0

            346

            0

            0

            0

            0

            347

            0

            0

            0

            0

            348

            0

            0

            0

            0

            349

            0

            0

            0

            0

            350

            0

            0

            12

            0

            351

            0

            0

            0

            0

            352

            0

            0

            0

            0

            353

            0

            0

            0

            0

            354

            0

            0

            0

            0

            355

            0

            0

            0

            0

            356

            0

            0

            0

            0

            357

            0

            0

            0

            0

            358

            0

            0

            0

            0

            359

            0

            0

            0

            0

            360

            0

            0

            0

            0

            361

            0

            0

            0

            0

            362

            0

            0

            0

            0

            363

            0

            0

            0

            0

            364

            0

            0

            0

            0

            365

            0

            0

            0

            0

            366

            0

            0

            0

            0

            367

            0

            0

            0

            0

            368

            0

            0

            0

            0

            369

            0

            0

            0

            0

            370

            0

            0

            0

            0

            371

            0

            0

            0

            0

            372

            0

            0

            0

            0

            373

            0

            0

            0

            0

            374

            0

            0

            0

            0

            375

            0

            0

            0

            0

            376

            0

            0

            0

            0

            377

            0

            0

            0

            0

            378

            0

            0

            12

            0

             

            One Million Tracked # Selections

            Coefficients

            Mega Millions

            Powerball

            P5

            MM

            P5

            PB

            α

            -25071.1661813529

            -3222.36292582329

            -16462.2594409085

            -17530.109547895

            β

            561.935259517947

            44.842980648871

            348.902303712761

            130.283721952551

            γ

            -2.55343571484057

            0.19511648743907

            -0.609658887158907

            0.289651365681885

            δ

            -0.0586101552352585

            -0.0716974442658064

            -0.070659159801784

            -0.042028524202868

             

            Points of interest. 

            ·

            Mega Millions

            Powerball

            P5

            MM

            P5

            PB

            Minimum

            31

            15

            35

            26

            Peak

            63.06752387

            40.15977315

            83.21506128

            56.95323841

            Mode

            64

            40

            86

            55

            Median

            69

            46

            94

            62

            Mean

            71.89412

            49.77080

            100.02987

            64.98075

            Maximum

            235

            245

            378

            209

            Presented 'AS IS' and for Entertainment Purposes Only.
            Any gain or loss is your responsibility.
            Use at your own risk.

            Order is a Subset of Chaos
            Knowledge is Beyond Belief
            Wisdom is Not Censored
            Douglas Paul Smallish
            Jehocifer

              JADELottery's avatar - MeAtWork 03.PNG
              The Quantum Master
              West Concord, MN
              United States
              Member #21
              December 7, 2001
              3675 Posts
              Offline
              Posted: July 29, 2016, 10:02 pm - IP Logged

              The following is the Instantaneous Probability, meaning, at any given draw there is a probability the tracked selection will complete the cycle at that draw.

              However, as more draws occur and more numbers are tracked, there is a Total Probability the tracked selection will complete due to the decreasing numbers left to select from.

               

              This results in a different Probability and is show in the next graph in blue.

               

               

               

              .

              Presented 'AS IS' and for Entertainment Purposes Only.
              Any gain or loss is your responsibility.
              Use at your own risk.

              Order is a Subset of Chaos
              Knowledge is Beyond Belief
              Wisdom is Not Censored
              Douglas Paul Smallish
              Jehocifer

                JADELottery's avatar - MeAtWork 03.PNG
                The Quantum Master
                West Concord, MN
                United States
                Member #21
                December 7, 2001
                3675 Posts
                Offline
                Posted: July 29, 2016, 11:08 pm - IP Logged

                Get back to this later.

                Data Data Data.

                Presented 'AS IS' and for Entertainment Purposes Only.
                Any gain or loss is your responsibility.
                Use at your own risk.

                Order is a Subset of Chaos
                Knowledge is Beyond Belief
                Wisdom is Not Censored
                Douglas Paul Smallish
                Jehocifer

                  JADELottery's avatar - MeAtWork 03.PNG
                  The Quantum Master
                  West Concord, MN
                  United States
                  Member #21
                  December 7, 2001
                  3675 Posts
                  Offline
                  Posted: July 29, 2016, 11:38 pm - IP Logged

                  Get back to this later.

                  Data Data Data.

                  Need to quad check some numbers again.

                  Trying to do too many at once.

                  Presented 'AS IS' and for Entertainment Purposes Only.
                  Any gain or loss is your responsibility.
                  Use at your own risk.

                  Order is a Subset of Chaos
                  Knowledge is Beyond Belief
                  Wisdom is Not Censored
                  Douglas Paul Smallish
                  Jehocifer

                    CARBOB's avatar - FL LOTTERY_LOGO.png
                    ORLANDO, FLORIDA
                    United States
                    Member #4924
                    June 3, 2004
                    5898 Posts
                    Online
                    Posted: July 30, 2016, 6:41 am - IP Logged

                    Need to quad check some numbers again.

                    Trying to do too many at once.

                    Magnificent job, Jade. I knew there had to be a maximum number of draws for all of the digits to show. Now, we need a plan of the range to play, maybe median. We have some fantastic math individuals on this fantastic forum.

                      Sunglasses's avatar - nicebear
                      Zaperlopopotam
                      Belgium
                      Member #173932
                      March 26, 2016
                      961 Posts
                      Offline
                      Posted: July 30, 2016, 6:48 am - IP Logged

                      Thank you for the clarification on this. I could still be framing this idea all wrong but this is still pointing to a given amount of game history? For example when I try to figure out how many games of history to use in Mega Millions  I divide the number of numbers picked in the first pool which is 5 digits by the largest number found in the first pool which is 75. Then multiply that by 2 which... 75/5=15x2=30 this gives each number the opportunity to appear twice. This new formula seems to me to give a more accurate history to look at so when I try to figure my frequency/hot/cold numbers I would get better results. Like I said I could be way off on this but thats what I see at first look.

                      You are new to mathematics and gambling. Step off this and go play classical games in casinos. Your learning curve will be higher.

                        JADELottery's avatar - MeAtWork 03.PNG
                        The Quantum Master
                        West Concord, MN
                        United States
                        Member #21
                        December 7, 2001
                        3675 Posts
                        Offline
                        Posted: July 30, 2016, 9:03 am - IP Logged

                        Need to quad check some numbers again.

                        Trying to do too many at once.

                        It has to do with the Mega Millions and Powerball, again.

                        We think the P5 columns are swapped as well.

                        Just need to complete a few hundred million samples to verify.

                        Working it now.

                        Presented 'AS IS' and for Entertainment Purposes Only.
                        Any gain or loss is your responsibility.
                        Use at your own risk.

                        Order is a Subset of Chaos
                        Knowledge is Beyond Belief
                        Wisdom is Not Censored
                        Douglas Paul Smallish
                        Jehocifer

                          JADELottery's avatar - MeAtWork 03.PNG
                          The Quantum Master
                          West Concord, MN
                          United States
                          Member #21
                          December 7, 2001
                          3675 Posts
                          Offline
                          Posted: July 30, 2016, 9:15 am - IP Logged

                          I'd suggest to set the maximum to 140 to lifetime of the game.

                          That's an observed maximum in the 29,283,008 data samples we collected.

                          The actual upper limit extends to ∞.

                          However, the probability reaching that draw is very, very low; 0.000000396554819 or 0.0000396554819% or 1 in 2,521,719.45 .

                          It's much more likely the cycle will end sooner than later.

                          Presented 'AS IS' and for Entertainment Purposes Only.
                          Any gain or loss is your responsibility.
                          Use at your own risk.

                          Order is a Subset of Chaos
                          Knowledge is Beyond Belief
                          Wisdom is Not Censored
                          Douglas Paul Smallish
                          Jehocifer

                            JADELottery's avatar - MeAtWork 03.PNG
                            The Quantum Master
                            West Concord, MN
                            United States
                            Member #21
                            December 7, 2001
                            3675 Posts
                            Offline
                            Posted: July 30, 2016, 9:36 am - IP Logged

                            The following is the Instantaneous Probability, meaning, at any given draw there is a probability the tracked selection will complete the cycle at that draw.

                            However, as more draws occur and more numbers are tracked, there is a Total Probability the tracked selection will complete due to the decreasing numbers left to select from.

                             

                            This results in a different Probability and is show in the next graph in blue.

                             

                             

                             

                            .

                            Below is a table showing the Total Probability for each Pick 1 to Pick 5.

                            In the Pick 1, we see the probability reaches 100%, but that is just due to rounding.

                            It's actually more like 99.95% and is very close to 100%.

                            This shows that as more draws occur, the more likely the cycle will end.

                            In the Pick 1, by draw 27, it's above 50%; by draw 35, it's above 75%; by draw 44, it's just above 90%.

                            In Pick 3, by draw 8, it's above 50% and in Pick 4, by draw 6, it's above 50%.

                            If there is a generalized maximum, we'd have to say when it reaches a virtual 100% or very near 100% there is a maximum number of draws to end the cycle.

                             

                            Total Probability

                            Draw

                            Pick 1

                            Pick 2

                            Pick 3

                            Pick 4

                            Pick 5

                            1

                            0.0%

                            0.0%

                            0.0%

                            0.0%

                            0.0%

                            2

                            0.0%

                            0.0%

                            0.0%

                            0.0%

                            0.4%

                            3

                            0.0%

                            0.0%

                            0.0%

                            2.5%

                            17.2%

                            4

                            0.0%

                            0.0%

                            1.6%

                            16.6%

                            46.9%

                            5

                            0.0%

                            0.1%

                            8.7%

                            38.0%

                            70.4%

                            6

                            0.0%

                            0.8%

                            21.5%

                            57.9%

                            84.6%

                            7

                            0.0%

                            3.6%

                            36.8%

                            73.0%

                            92.3%

                            8

                            0.0%

                            9.1%

                            51.3%

                            83.2%

                            96.2%

                            9

                            0.0%

                            17.0%

                            63.7%

                            89.8%

                            98.1%

                            10

                            0.0%

                            26.4%

                            73.5%

                            93.8%

                            99.1%

                            11

                            0.2%

                            36.3%

                            80.9%

                            96.3%

                            99.6%

                            12

                            0.6%

                            45.8%

                            86.4%

                            97.8%

                            99.8%

                            13

                            1.3%

                            54.6%

                            90.4%

                            98.7%

                            100%

                            14

                            2.6%

                            62.3%

                            93.2%

                            99.2%

                            100%

                            15

                            4.4%

                            69.0%

                            95.2%

                            99.5%

                            100%

                            16

                            6.8%

                            74.7%

                            96.7%

                            99.7%

                            100%

                            17

                            9.9%

                            79.4%

                            97.7%

                            99.8%

                            100%

                            18

                            13.4%

                            83.3%

                            98.4%

                            99.9%

                            100%

                            19

                            17.3%

                            86.5%

                            98.9%

                            99.9%

                            100%

                            20

                            21.6%

                            89.1%

                            99.2%

                            100%

                            100%

                            21

                            26.1%

                            91.2%

                            99.4%

                            100%

                            100%

                            22

                            30.6%

                            92.9%

                            99.6%

                            100%

                            100%

                            23

                            35.2%

                            94.3%

                            99.7%

                            100%

                            100%

                            24

                            39.7%

                            95.4%

                            99.8%

                            100%

                            100%

                            25

                            44.1%

                            96.3%

                            99.9%

                            100%

                            100%

                            26

                            48.4%

                            97.1%

                            99.9%

                            100%

                            100%

                            27

                            52.5%

                            97.6%

                            99.9%

                            100%

                            100%

                            28

                            56.3%

                            98.1%

                            100%

                            100%

                            100%

                            29

                            60.0%

                            98.5%

                            100%

                            100%

                            100%

                            30

                            63.4%

                            98.8%

                            100%

                            100%

                            100%

                            31

                            66.6%

                            99.0%

                            100%

                            100%

                            100%

                            32

                            69.5%

                            99.2%

                            100%

                            100%

                            100%

                            33

                            72.3%

                            99.4%

                            100%

                            100%

                            100%

                            34

                            74.8%

                            99.5%

                            100%

                            100%

                            100%

                            35

                            77.1%

                            99.6%

                            100%

                            100%

                            100%

                            36

                            79.2%

                            99.7%

                            100%

                            100%

                            100%

                            37

                            81.2%

                            99.7%

                            100%

                            100%

                            100%

                            38

                            82.9%

                            99.8%

                            100%

                            100%

                            100%

                            39

                            84.6%

                            99.8%

                            100%

                            100%

                            100%

                            40

                            86.0%

                            99.9%

                            100%

                            100%

                            100%

                            41

                            87.4%

                            99.9%

                            100%

                            100%

                            100%

                            42

                            88.6%

                            99.9%

                            100%

                            100%

                            100%

                            43

                            89.7%

                            99.9%

                            100%

                            100%

                            100%

                            44

                            90.7%

                            99.9%

                            100%

                            100%

                            100%

                            45

                            91.6%

                            100%

                            100%

                            100%

                            100%

                            46

                            92.4%

                            100%

                            100%

                            100%

                            100%

                            47

                            93.2%

                            100%

                            100%

                            100%

                            100%

                            48

                            93.8%

                            100%

                            100%

                            100%

                            100%

                            49

                            94.5%

                            100%

                            100%

                            100%

                            100%

                            50

                            95.0%

                            100%

                            100%

                            100%

                            100%

                            51

                            95.5%

                            100%

                            100%

                            100%

                            100%

                            52

                            95.9%

                            100%

                            100%

                            100%

                            100%

                            53

                            96.4%

                            100%

                            100%

                            100%

                            100%

                            54

                            96.7%

                            100%

                            100%

                            100%

                            100%

                            55

                            97.0%

                            100%

                            100%

                            100%

                            100%

                            56

                            97.3%

                            100%

                            100%

                            100%

                            100%

                            57

                            97.6%

                            100%

                            100%

                            100%

                            100%

                            58

                            97.8%

                            100%

                            100%

                            100%

                            100%

                            59

                            98.1%

                            100%

                            100%

                            100%

                            100%

                            60

                            98.3%

                            100%

                            100%

                            100%

                            100%

                            61

                            98.4%

                            100%

                            100%

                            100%

                            100%

                            62

                            98.6%

                            100%

                            100%

                            100%

                            100%

                            63

                            98.7%

                            100%

                            100%

                            100%

                            100%

                            64

                            98.9%

                            100%

                            100%

                            100%

                            100%

                            65

                            99.0%

                            100%

                            100%

                            100%

                            100%

                            66

                            99.1%

                            100%

                            100%

                            100%

                            100%

                            67

                            99.2%

                            100%

                            100%

                            100%

                            100%

                            68

                            99.3%

                            100%

                            100%

                            100%

                            100%

                            69

                            99.3%

                            100%

                            100%

                            100%

                            100%

                            70

                            99.4%

                            100%

                            100%

                            100%

                            100%

                            71

                            99.5%

                            100%

                            100%

                            100%

                            100%

                            72

                            99.5%

                            100%

                            100%

                            100%

                            100%

                            73

                            99.6%

                            100%

                            100%

                            100%

                            100%

                            74

                            99.6%

                            100%

                            100%

                            100%

                            100%

                            75

                            99.6%

                            100%

                            100%

                            100%

                            100%

                            76

                            99.7%

                            100%

                            100%

                            100%

                            100%

                            77

                            99.7%

                            100%

                            100%

                            100%

                            100%

                            78

                            99.7%

                            100%

                            100%

                            100%

                            100%

                            79

                            99.8%

                            100%

                            100%

                            100%

                            100%

                            80

                            99.8%

                            100%

                            100%

                            100%

                            100%

                            81

                            99.8%

                            100%

                            100%

                            100%

                            100%

                            82

                            99.8%

                            100%

                            100%

                            100%

                            100%

                            83

                            99.8%

                            100%

                            100%

                            100%

                            100%

                            84

                            99.9%

                            100%

                            100%

                            100%

                            100%

                            85

                            99.9%

                            100%

                            100%

                            100%

                            100%

                            86

                            99.9%

                            100%

                            100%

                            100%

                            100%

                            87

                            99.9%

                            100%

                            100%

                            100%

                            100%

                            88

                            99.9%

                            100%

                            100%

                            100%

                            100%

                            89

                            99.9%

                            100%

                            100%

                            100%

                            100%

                            90

                            99.9%

                            100%

                            100%

                            100%

                            100%

                            91

                            99.9%

                            100%

                            100%

                            100%

                            100%

                            92

                            99.9%

                            100%

                            100%

                            100%

                            100%

                            93

                            99.9%

                            100%

                            100%

                            100%

                            100%

                            94

                            100%

                            100%

                            100%

                            100%

                            100%

                            95

                            100%

                            100%

                            100%

                            100%

                            100%

                            96

                            100%

                            100%

                            100%

                            100%

                            100%

                            97

                            100%

                            100%

                            100%

                            100%

                            100%

                            98

                            100%

                            100%

                            100%

                            100%

                            100%

                            99

                            100%

                            100%

                            100%

                            100%

                            100%

                            100

                            100%

                            100%

                            100%

                            100%

                            100%

                            Presented 'AS IS' and for Entertainment Purposes Only.
                            Any gain or loss is your responsibility.
                            Use at your own risk.

                            Order is a Subset of Chaos
                            Knowledge is Beyond Belief
                            Wisdom is Not Censored
                            Douglas Paul Smallish
                            Jehocifer

                              JADELottery's avatar - MeAtWork 03.PNG
                              The Quantum Master
                              West Concord, MN
                              United States
                              Member #21
                              December 7, 2001
                              3675 Posts
                              Offline
                              Posted: July 30, 2016, 10:08 am - IP Logged

                              It has to do with the Mega Millions and Powerball, again.

                              We think the P5 columns are swapped as well.

                              Just need to complete a few hundred million samples to verify.

                              Working it now.

                              we may have intermixed Mega Millions with the Powerball data.

                              it's done in 100,000 blocks of data and have to complete the rerun and curve fitting.

                              should be finished in about 20 min or so.

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                              Any gain or loss is your responsibility.
                              Use at your own risk.

                              Order is a Subset of Chaos
                              Knowledge is Beyond Belief
                              Wisdom is Not Censored
                              Douglas Paul Smallish
                              Jehocifer