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Power Mega Balls with Three Sum MathPrev TopicNext Topic
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Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineWe've been working on applying the concept of Sums to other lottery types and in a different way.
The Sum is a math process that adds the numbers in a lottery game like Pick 3 to come up with a total or sum of the numbers.
As an example, if the following are some Pick 3 combinations:
Draw A B C 1 0 5 9 2 7 9 1 3 8 8 8 4 2 3 1
then their sums are as follows:
Draw A + B + C = Sum 1 0 + 5 + 9 = 14 2 7 + 9 + 1 = 17 3 8 + 8 + 8 = 24 4 2 + 3 + 1 = 6
Now, that's pretty simple and it's what we would call an Inline Sum; meaning it is inline with the combination.
The Inline Sum is in this direction:
Draw A → B → C → Sum 1 0 → 5 → 9 → 14 2 7 → 9 → 1 → 17 3 8 → 8 → 8 → 24 4 2 → 3 → 1 → 6
There is another way to sum these numbers and it is what we call Insequence; meaning it sums the numbers in a column of the combination as they are drawn.
The Insequence Sum is in this direction:
Draw A B C 1 0 5 9 ↓ ↓ ↓ ↓ 2 7 9 1 ↓ ↓ ↓ ↓ 3 8 8 8 ↓ ↓ ↓ ↓ Sum 15 22 18
Then moving down the draws the next Insequence Sum is:
Draw A B C 2 7 9 1 ↓ ↓ ↓ ↓ 3 8 8 8 ↓ ↓ ↓ ↓ 4 2 3 1 ↓ ↓ ↓ ↓ Sum 17 20 10
This Insequence Sum of the Pick 3 numbers follows the same distribution of sums as the Inline Sum.
Below the range of sums and the total count for each sum is shown:
Sum Count 0 1 1 3 2 6 3 10 4 15 5 21 6 28 7 36 8 45 9 55 10 63 11 69 12 73 13 75 14 75 15 73 16 69 17 63 18 55 19 45 20 36 21 28 22 21 23 15 24 10 25 6 26 3 27 1
We're only going over the introduction of concept of Insequnce Sums right now.
Next we will get into the application to games like Powerball and Mega Millions.
Continues...The One Over None
I Know... -
Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineWe began to think about an application of the Insequence Sums to the Powerball and Mega Millions games.
This will have an interesting way of helping to pick the next set of numbers using only 2 previous draws.
First, let's look at the Insequence Sums for Mega Millions.
The last 3 draws as of 2015-05-17 are below:
Year Month Day A B C D E MB 2015 5 8 9 21 25 66 72 7 2015 5 12 14 30 33 36 44 2 2015 5 15 11 17 21 36 74 15
We can use the Insequence Sum to get a sum for each column.
Year Month Day A B C D E MB 2015 5 8 9 21 25 66 72 7 2015 5 12 14 30 33 36 44 2 2015 5 15 11 17 21 36 74 15 - - Sum 34 68 79 138 190 24
This is just one example of an Insequence Sum.
Like the Insequence Sum for Pick 3, there is a Sum and Count or Frequency Distribution of the sums in each column.
Below are the Insequence Sum Distributions for just the Powerball and Mega Ball numbers.
Powerball Mega Ball Sum Count Sum Count 3 1 3 1 4 3 4 3 5 6 5 6 6 10 6 10 7 15 7 15 8 21 8 21 9 28 9 28 10 36 10 36 11 45 11 45 12 55 12 55 13 66 13 66 14 78 14 78 15 91 15 91 16 105 16 105 17 120 17 120 18 136 18 133 19 153 19 144 20 171 20 153 21 190 21 160 22 210 22 165 23 231 23 168 24 253 24 169 25 276 25 168 26 300 26 165 27 325 27 160 28 351 28 153 29 378 29 144 30 406 30 133 31 435 31 120 32 465 32 105 33 496 33 91 34 528 34 78 35 561 35 66 36 595 36 55 37 630 37 45 38 663 38 36 39 694 39 28 40 723 40 21 41 750 41 15 42 775 42 10 43 798 43 6 44 819 44 3 45 838 45 1 46 855 - - 47 870 - - 48 883 - - 49 894 - - 50 903 - - 51 910 - - 52 915 - - 53 918 - - 54 919 - - 55 918 - - 56 915 - - 57 910 - - 58 903 - - 59 894 - - 60 883 - - 61 870 - - 62 855 - - 63 838 - - 64 819 - - 65 798 - - 66 775 - - 67 750 - - 68 723 - - 69 694 - - 70 663 - - 71 630 - - 72 595 - - 73 561 - - 74 528 - - 75 496 - - 76 465 - - 77 435 - - 78 406 - - 79 378 - - 80 351 - - 81 325 - - 82 300 - - 83 276 - - 84 253 - - 85 231 - - 86 210 - - 87 190 - - 88 171 - - 89 153 - - 90 136 - - 91 120 - - 92 105 - - 93 91 - - 94 78 - - 95 66 - - 96 55 - - 97 45 - - 98 36 - - 99 28 - - 100 21 - - 101 15 - - 102 10 - - 103 6 - - 104 3 - - 105 1 - -
Continues...The One Over None
I Know... -
Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineNext we found the distribution of the Insequence Sums for the individual columns A to E for both Powerball and Mega Millions.
These counts are huge and later we will look at a different way of looking at this huge set of counts.
Below are the Insequence Sums for Powerball:
Powerball Sum A B C D E 3 76370735308483000 - - - - 4 213311364137487000 - - - - 5 396942381177804000 - - - - 6 615136159234327000 25050878776000 - - - 7 857359101540873000 142394468832000 - - - 8 1114524765212210000 471949336782000 - - - 9 1378857345152210000 1191270066940800 3652264000 - - 10 1643764935530890000 2535988382904900 31696434000 - - 11 1903722012701900000 4796633746119600 152780928300 - - 12 2154160609186790000 8312628678683510 539896261575 166375 - 13 2391369673133680000 13464159524383900 1560559327470 1960200 - 14 2612402131495640000 20662536258785200 3908221788240 12507990 - 15 2814989198097260000 30339574874399500 8781248296806 57294096 1 16 2997461489794500000 42936462405091100 18114327990765 210861615 15 17 3158676535111260000 58892497435234600 34865441667720 662130720 120 18 3297952280082490000 78634037599464700 63359593434640 1840672280 680 19 3415006215574880000 102563929768750000 109688506166880 4643268480 3060 20 3509899769117610000 131051648003151000 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Now Mega Millions:
Mega Millions Sum A B C D E 3 1523360007217510000 - - - - 4 4323048669130780000 - - - - 5 8175539652691610000 - - - - 6 12879191539002700000 240595424905536 - - - 7 18252714390260200000 1384247650141440 - - - 8 24133719263747700000 4644577517897520 - - - 9 30377347078741200000 11870443389329300 16698695616 - - 10 36854973369481400000 25591011728145700 146113586640 - - 11 43452985580978000000 49027506128518600 710160049620 - - 12 50071629684420600000 86076828796612200 2530768794255 357911 - 13 56623923005458400000 141271785519710000 7377798079710 4234440 - 14 63034630271673000000 219722209896586000 18637190062848 27134070 - 15 69239299995272500000 327040873880541000 42243884584110 124822480 1 16 75183358413471800000 469257688361178000 87920268437205 461381535 15 17 80821258312269700000 652725338476301000 170755709557320 1455160608 120 18 86115680159457600000 884019162529152000 313156286393040 4063249560 680 19 91036783069789500000 1169833769750000000 547186433703696 10296190080 3060 20 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219722209896586000 63034630271673000000 215 - 4234440 7377798079710 141271785519710000 56623923005458400000 216 - 357911 2530768794255 86076828796612200 50071629684420500000 217 - - 710160049620 49027506128518600 43452985580978000000 218 - - 146113586640 25591011728145700 36854973369481400000 219 - - 16698695616 11870443389329300 30377347078741200000 220 - - - 4644577517897520 24133719263747700000 221 - - - 1384247650141440 18252714390260200000 222 - - - 240595424905536 12879191539002700000 223 - - - - 8175539652691610000 224 - - - - 4323048669130780000 225 - - - - 1523360007217510000
Continues...The One Over None
I Know... -
Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineWhen we graph these, we can see the Power Ball and Mega Ball Insequence Sums look a lot like the Pick 3 sums.
Continues...
The One Over None
I Know... -
Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineThe individual Insequence Sums of the columns are a bit different.
We can see columns A, B, D, and E are a little lopsided; one way and the other.
Also, column A is symmetrical with E; meaning it's the mirror image of each.
In addition, B is symmertrical with D, and C is what as known as self symmetric or a mirror image of itself.
Continues...
The One Over None
I Know... -
Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineWith those huge numbers, we like to reduce them down to a Probability table.
This make it easy to see what sum is more likely to happen and it make it more even between columns and the extra ball numbers.
The following table shows all Insequence Sum Probabilities for both Powerball and Mega Millions.
Insequence Sum Probability Table Powerball Mega Millions Sum A B C D E PB Sum A B C D E MB 3 0.0609% 0.0000% 0.0000% 0.0000% 0.0000% 0.0023% 3 0.0296% 0.0000% 0.0000% 0.0000% 0.0000% 0.0296% 4 0.1700% 0.0000% 0.0000% 0.0000% 0.0000% 0.0070% 4 0.0841% 0.0000% 0.0000% 0.0000% 0.0000% 0.0889% 5 0.3163% 0.0000% 0.0000% 0.0000% 0.0000% 0.0140% 5 0.1590% 0.0000% 0.0000% 0.0000% 0.0000% 0.1778% 6 0.4902% 0.0000% 0.0000% 0.0000% 0.0000% 0.0233% 6 0.2505% 0.0000% 0.0000% 0.0000% 0.0000% 0.2963% 7 0.6833% 0.0001% 0.0000% 0.0000% 0.0000% 0.0350% 7 0.3550% 0.0000% 0.0000% 0.0000% 0.0000% 0.4444% 8 0.8882% 0.0004% 0.0000% 0.0000% 0.0000% 0.0490% 8 0.4694% 0.0001% 0.0000% 0.0000% 0.0000% 0.6222% 9 1.0989% 0.0009% 0.0000% 0.0000% 0.0000% 0.0653% 9 0.5908% 0.0002% 0.0000% 0.0000% 0.0000% 0.8296% 10 1.3100% 0.0020% 0.0000% 0.0000% 0.0000% 0.0840% 10 0.7168% 0.0005% 0.0000% 0.0000% 0.0000% 1.0667% 11 1.5172% 0.0038% 0.0000% 0.0000% 0.0000% 0.1050% 11 0.8452% 0.0010% 0.0000% 0.0000% 0.0000% 1.3333% 12 1.7167% 0.0066% 0.0000% 0.0000% 0.0000% 0.1283% 12 0.9739% 0.0017% 0.0000% 0.0000% 0.0000% 1.6296% 13 1.9058% 0.0107% 0.0000% 0.0000% 0.0000% 0.1539% 13 1.1013% 0.0027% 0.0000% 0.0000% 0.0000% 1.9556% 14 2.0819% 0.0165% 0.0000% 0.0000% 0.0000% 0.1819% 14 1.2260% 0.0043% 0.0000% 0.0000% 0.0000% 2.3111% 15 2.2434% 0.0242% 0.0000% 0.0000% 0.0000% 0.2122% 15 1.3467% 0.0064% 0.0000% 0.0000% 0.0000% 2.6963% 16 2.3888% 0.0342% 0.0000% 0.0000% 0.0000% 0.2449% 16 1.4623% 0.0091% 0.0000% 0.0000% 0.0000% 3.1111% 17 2.5173% 0.0469% 0.0000% 0.0000% 0.0000% 0.2799% 17 1.5720% 0.0127% 0.0000% 0.0000% 0.0000% 3.5556% 18 2.6283% 0.0627% 0.0001% 0.0000% 0.0000% 0.3172% 18 1.6750% 0.0172% 0.0000% 0.0000% 0.0000% 3.9407% 19 2.7216% 0.0817% 0.0001% 0.0000% 0.0000% 0.3569% 19 1.7707% 0.0228% 0.0000% 0.0000% 0.0000% 4.2667% 20 2.7972% 0.1044% 0.0001% 0.0000% 0.0000% 0.3988% 20 1.8587% 0.0295% 0.0000% 0.0000% 0.0000% 4.5333% 21 2.8554% 0.1310% 0.0002% 0.0000% 0.0000% 0.4431% 21 1.9387% 0.0376% 0.0000% 0.0000% 0.0000% 4.7407% 22 2.8968% 0.1617% 0.0004% 0.0000% 0.0000% 0.4898% 22 2.0104% 0.0471% 0.0000% 0.0000% 0.0000% 4.8889% 23 2.9219% 0.1967% 0.0005% 0.0000% 0.0000% 0.5388% 23 2.0737% 0.0582% 0.0001% 0.0000% 0.0000% 4.9778% 24 2.9315% 0.2362% 0.0008% 0.0000% 0.0000% 0.5901% 24 2.1286% 0.0709% 0.0001% 0.0000% 0.0000% 5.0074% 25 2.9265% 0.2801% 0.0012% 0.0000% 0.0000% 0.6437% 25 2.1751% 0.0855% 0.0001% 0.0000% 0.0000% 4.9778% 26 2.9079% 0.3285% 0.0016% 0.0000% 0.0000% 0.6997% 26 2.2133% 0.1019% 0.0002% 0.0000% 0.0000% 4.8889% 27 2.8767% 0.3813% 0.0023% 0.0000% 0.0000% 0.7580% 27 2.2433% 0.1202% 0.0003% 0.0000% 0.0000% 4.7407% 28 2.8339% 0.4385% 0.0031% 0.0000% 0.0000% 0.8187% 28 2.2655% 0.1406% 0.0004% 0.0000% 0.0000% 4.5333% 29 2.7808% 0.4999% 0.0041% 0.0000% 0.0000% 0.8816% 29 2.2800% 0.1631% 0.0006% 0.0000% 0.0000% 4.2667% 30 2.7182% 0.5654% 0.0055% 0.0000% 0.0000% 0.9469% 30 2.2871% 0.1876% 0.0007% 0.0000% 0.0000% 3.9407% 31 2.6474% 0.6345% 0.0071% 0.0000% 0.0000% 1.0146% 31 2.2872% 0.2143% 0.0010% 0.0000% 0.0000% 3.5556% 32 2.5695% 0.7070% 0.0092% 0.0000% 0.0000% 1.0845% 32 2.2805% 0.2432% 0.0013% 0.0000% 0.0000% 3.1111% 33 2.4854% 0.7825% 0.0117% 0.0000% 0.0000% 1.1569% 33 2.2676% 0.2741% 0.0017% 0.0000% 0.0000% 2.6963% 34 2.3962% 0.8607% 0.0148% 0.0000% 0.0000% 1.2315% 34 2.2486% 0.3072% 0.0021% 0.0000% 0.0000% 2.3111% 35 2.3029% 0.9410% 0.0185% 0.0000% 0.0000% 1.3085% 35 2.2242% 0.3423% 0.0027% 0.0000% 0.0000% 1.9556% 36 2.2063% 1.0231% 0.0230% 0.0000% 0.0000% 1.3878% 36 2.1946% 0.3795% 0.0034% 0.0000% 0.0000% 1.6296% 37 2.1075% 1.1062% 0.0282% 0.0000% 0.0000% 1.4694% 37 2.1602% 0.4185% 0.0042% 0.0000% 0.0000% 1.3333% 38 2.0072% 1.1901% 0.0344% 0.0001% 0.0000% 1.5464% 38 2.1215% 0.4594% 0.0051% 0.0000% 0.0000% 1.0667% 39 1.9061% 1.2739% 0.0416% 0.0001% 0.0000% 1.6187% 39 2.0789% 0.5020% 0.0063% 0.0000% 0.0000% 0.8296% 40 1.8050% 1.3573% 0.0499% 0.0001% 0.0000% 1.6863% 40 2.0328% 0.5462% 0.0077% 0.0000% 0.0000% 0.6222% 41 1.7046% 1.4397% 0.0595% 0.0002% 0.0000% 1.7493% 41 1.9836% 0.5918% 0.0092% 0.0000% 0.0000% 0.4444% 42 1.6053% 1.5204% 0.0704% 0.0002% 0.0000% 1.8076% 42 1.9315% 0.6388% 0.0111% 0.0000% 0.0000% 0.2963% 43 1.5077% 1.5989% 0.0828% 0.0003% 0.0000% 1.8612% 43 1.8772% 0.6869% 0.0132% 0.0000% 0.0000% 0.1778% 44 1.4124% 1.6747% 0.0969% 0.0004% 0.0000% 1.9102% 44 1.8208% 0.7360% 0.0157% 0.0000% 0.0000% 0.0889% 45 1.3196% 1.7473% 0.1127% 0.0005% 0.0000% 1.9545% 45 1.7628% 0.7859% 0.0185% 0.0000% 0.0000% 0.0296% 46 1.2297% 1.8161% 0.1303% 0.0007% 0.0000% 1.9942% 46 1.7034% 0.8363% 0.0217% 0.0000% 0.0000% - 47 1.1430% 1.8807% 0.1500% 0.0008% 0.0000% 2.0292% 47 1.6430% 0.8872% 0.0254% 0.0001% 0.0000% - 48 1.0598% 1.9405% 0.1717% 0.0011% 0.0000% 2.0595% 48 1.5820% 0.9383% 0.0295% 0.0001% 0.0000% - 49 0.9802% 1.9954% 0.1956% 0.0014% 0.0000% 2.0851% 49 1.5205% 0.9894% 0.0341% 0.0001% 0.0000% - 50 0.9044% 2.0448% 0.2218% 0.0017% 0.0000% 2.1061% 50 1.4589% 1.0403% 0.0393% 0.0001% 0.0000% - 51 0.8324% 2.0884% 0.2504% 0.0021% 0.0000% 2.1224% 51 1.3974% 1.0908% 0.0451% 0.0001% 0.0000% - 52 0.7643% 2.1261% 0.2814% 0.0027% 0.0000% 2.1341% 52 1.3362% 1.1406% 0.0515% 0.0002% 0.0000% - 53 0.7002% 2.1576% 0.3150% 0.0033% 0.0000% 2.1411% 53 1.2755% 1.1896% 0.0586% 0.0002% 0.0000% - 54 0.6400% 2.1827% 0.3511% 0.0040% 0.0000% 2.1434% 54 1.2156% 1.2375% 0.0665% 0.0003% 0.0000% - 55 0.5836% 2.2013% 0.3898% 0.0049% 0.0000% 2.1411% 55 1.1567% 1.2842% 0.0751% 0.0003% 0.0000% - 56 0.5310% 2.2134% 0.4311% 0.0060% 0.0000% 2.1341% 56 1.0988% 1.3294% 0.0846% 0.0004% 0.0000% - 57 0.4821% 2.2189% 0.4750% 0.0073% 0.0000% 2.1224% 57 1.0422% 1.3730% 0.0949% 0.0005% 0.0000% - 58 0.4367% 2.2180% 0.5214% 0.0088% 0.0000% 2.1061% 58 0.9869% 1.4148% 0.1061% 0.0006% 0.0000% - 59 0.3948% 2.2107% 0.5704% 0.0105% 0.0000% 2.0851% 59 0.9331% 1.4545% 0.1183% 0.0007% 0.0000% - 60 0.3561% 2.1971% 0.6218% 0.0126% 0.0000% 2.0595% 60 0.8809% 1.4921% 0.1315% 0.0009% 0.0000% - 61 0.3205% 2.1776% 0.6754% 0.0149% 0.0000% 2.0292% 61 0.8303% 1.5274% 0.1457% 0.0011% 0.0000% - 62 0.2879% 2.1522% 0.7313% 0.0177% 0.0000% 1.9942% 62 0.7815% 1.5602% 0.1610% 0.0013% 0.0000% - 63 0.2580% 2.1213% 0.7892% 0.0209% 0.0000% 1.9545% 63 0.7344% 1.5904% 0.1774% 0.0015% 0.0000% - 64 0.2308% 2.0852% 0.8490% 0.0246% 0.0000% 1.9102% 64 0.6891% 1.6179% 0.1949% 0.0018% 0.0000% - 65 0.2060% 2.0443% 0.9104% 0.0288% 0.0000% 1.8612% 65 0.6457% 1.6426% 0.2136% 0.0021% 0.0000% - 66 0.1835% 1.9988% 0.9732% 0.0336% 0.0000% 1.8076% 66 0.6042% 1.6645% 0.2335% 0.0025% 0.0000% - 67 0.1631% 1.9493% 1.0372% 0.0391% 0.0001% 1.7493% 67 0.5645% 1.6833% 0.2546% 0.0029% 0.0000% - 68 0.1447% 1.8960% 1.1021% 0.0453% 0.0001% 1.6863% 68 0.5267% 1.6991% 0.2770% 0.0034% 0.0000% - 69 0.1281% 1.8395% 1.1675% 0.0523% 0.0001% 1.6187% 69 0.4907% 1.7119% 0.3005% 0.0040% 0.0000% - 70 0.1131% 1.7801% 1.2333% 0.0602% 0.0001% 1.5464% 70 0.4566% 1.7215% 0.3253% 0.0047% 0.0000% - 71 0.0997% 1.7182% 1.2989% 0.0691% 0.0002% 1.4694% 71 0.4242% 1.7280% 0.3513% 0.0055% 0.0000% - 72 0.0877% 1.6544% 1.3642% 0.0791% 0.0002% 1.3878% 72 0.3936% 1.7315% 0.3786% 0.0063% 0.0000% - 73 0.0770% 1.5889% 1.4287% 0.0902% 0.0002% 1.3085% 73 0.3648% 1.7318% 0.4070% 0.0073% 0.0000% - 74 0.0675% 1.5222% 1.4921% 0.1026% 0.0003% 1.2315% 74 0.3376% 1.7291% 0.4367% 0.0084% 0.0000% - 75 0.0590% 1.4547% 1.5540% 0.1163% 0.0004% 1.1569% 75 0.3120% 1.7234% 0.4675% 0.0096% 0.0000% - 76 0.0514% 1.3867% 1.6140% 0.1315% 0.0004% 1.0845% 76 0.2880% 1.7147% 0.4994% 0.0111% 0.0000% - 77 0.0448% 1.3187% 1.6718% 0.1482% 0.0005% 1.0146% 77 0.2655% 1.7032% 0.5324% 0.0126% 0.0000% - 78 0.0389% 1.2509% 1.7270% 0.1666% 0.0007% 0.9469% 78 0.2444% 1.6889% 0.5665% 0.0144% 0.0000% - 79 0.0337% 1.1837% 1.7792% 0.1867% 0.0008% 0.8816% 79 0.2247% 1.6719% 0.6015% 0.0164% 0.0000% - 80 0.0292% 1.1174% 1.8282% 0.2087% 0.0010% 0.8187% 80 0.2064% 1.6524% 0.6374% 0.0186% 0.0000% - 81 0.0252% 1.0522% 1.8736% 0.2326% 0.0012% 0.7580% 81 0.1893% 1.6303% 0.6742% 0.0211% 0.0000% - 82 0.0217% 0.9883% 1.9151% 0.2585% 0.0015% 0.6997% 82 0.1733% 1.6060% 0.7117% 0.0238% 0.0000% - 83 0.0186% 0.9261% 1.9524% 0.2866% 0.0018% 0.6437% 83 0.1586% 1.5795% 0.7499% 0.0268% 0.0000% - 84 0.0160% 0.8657% 1.9852% 0.3169% 0.0021% 0.5901% 84 0.1449% 1.5509% 0.7887% 0.0302% 0.0001% - 85 0.0137% 0.8072% 2.0134% 0.3495% 0.0025% 0.5388% 85 0.1322% 1.5204% 0.8280% 0.0339% 0.0001% - 86 0.0117% 0.7508% 2.0368% 0.3844% 0.0030% 0.4898% 86 0.1205% 1.4881% 0.8676% 0.0380% 0.0001% - 87 0.0099% 0.6966% 2.0551% 0.4216% 0.0036% 0.4431% 87 0.1097% 1.4543% 0.9075% 0.0424% 0.0001% - 88 0.0084% 0.6447% 2.0683% 0.4614% 0.0043% 0.3988% 88 0.0997% 1.4190% 0.9475% 0.0474% 0.0001% - 89 0.0071% 0.5952% 2.0762% 0.5035% 0.0051% 0.3569% 89 0.0905% 1.3824% 0.9876% 0.0528% 0.0001% - 90 0.0060% 0.5482% 2.0789% 0.5482% 0.0060% 0.3172% 90 0.0821% 1.3446% 1.0275% 0.0586% 0.0001% - 91 0.0051% 0.5035% 2.0762% 0.5952% 0.0071% 0.2799% 91 0.0743% 1.3059% 1.0672% 0.0650% 0.0002% - 92 0.0043% 0.4614% 2.0683% 0.6447% 0.0084% 0.2449% 92 0.0672% 1.2664% 1.1065% 0.0720% 0.0002% - 93 0.0036% 0.4216% 2.0551% 0.6966% 0.0099% 0.2122% 93 0.0607% 1.2262% 1.1453% 0.0796% 0.0002% - 94 0.0030% 0.3844% 2.0368% 0.7508% 0.0117% 0.1819% 94 0.0548% 1.1855% 1.1835% 0.0878% 0.0003% - 95 0.0025% 0.3495% 2.0134% 0.8072% 0.0137% 0.1539% 95 0.0493% 1.1444% 1.2209% 0.0967% 0.0003% - 96 0.0021% 0.3169% 1.9852% 0.8657% 0.0160% 0.1283% 96 0.0444% 1.1030% 1.2574% 0.1064% 0.0004% - 97 0.0018% 0.2866% 1.9524% 0.9261% 0.0186% 0.1050% 97 0.0399% 1.0616% 1.2928% 0.1167% 0.0005% - 98 0.0015% 0.2585% 1.9151% 0.9883% 0.0217% 0.0840% 98 0.0358% 1.0202% 1.3271% 0.1279% 0.0005% - 99 0.0012% 0.2326% 1.8736% 1.0522% 0.0252% 0.0653% 99 0.0321% 0.9789% 1.3600% 0.1398% 0.0006% - 100 0.0010% 0.2087% 1.8282% 1.1174% 0.0292% 0.0490% 100 0.0287% 0.9379% 1.3915% 0.1527% 0.0007% - 101 0.0008% 0.1867% 1.7792% 1.1837% 0.0337% 0.0350% 101 0.0257% 0.8973% 1.4214% 0.1664% 0.0009% - 102 0.0007% 0.1666% 1.7270% 1.2509% 0.0389% 0.0233% 102 0.0229% 0.8571% 1.4496% 0.1811% 0.0010% - 103 0.0005% 0.1482% 1.6718% 1.3187% 0.0448% 0.0140% 103 0.0204% 0.8175% 1.4760% 0.1967% 0.0012% - 104 0.0004% 0.1315% 1.6140% 1.3867% 0.0514% 0.0070% 104 0.0182% 0.7786% 1.5005% 0.2134% 0.0013% - 105 0.0004% 0.1163% 1.5540% 1.4547% 0.0590% 0.0023% 105 0.0162% 0.7405% 1.5230% 0.2310% 0.0015% - 106 0.0003% 0.1026% 1.4921% 1.5222% 0.0675% - 106 0.0144% 0.7031% 1.5434% 0.2498% 0.0018% - 107 0.0002% 0.0902% 1.4287% 1.5889% 0.0770% - 107 0.0127% 0.6666% 1.5616% 0.2696% 0.0021% - 108 0.0002% 0.0791% 1.3642% 1.6544% 0.0877% - 108 0.0113% 0.6311% 1.5775% 0.2905% 0.0024% - 109 0.0002% 0.0691% 1.2989% 1.7182% 0.0997% - 109 0.0100% 0.5966% 1.5911% 0.3126% 0.0027% - 110 0.0001% 0.0602% 1.2333% 1.7801% 0.1131% - 110 0.0088% 0.5631% 1.6023% 0.3358% 0.0031% - 111 0.0001% 0.0523% 1.1675% 1.8395% 0.1281% - 111 0.0078% 0.5307% 1.6111% 0.3601% 0.0036% - 112 0.0001% 0.0453% 1.1021% 1.8960% 0.1447% - 112 0.0069% 0.4994% 1.6174% 0.3856% 0.0041% - 113 0.0001% 0.0391% 1.0372% 1.9493% 0.1631% - 113 0.0060% 0.4692% 1.6212% 0.4123% 0.0046% - 114 0.0000% 0.0336% 0.9732% 1.9988% 0.1835% - 114 0.0053% 0.4402% 1.6224% 0.4402% 0.0053% - 115 0.0000% 0.0288% 0.9104% 2.0443% 0.2060% - 115 0.0046% 0.4123% 1.6212% 0.4692% 0.0060% - 116 0.0000% 0.0246% 0.8490% 2.0852% 0.2308% - 116 0.0041% 0.3856% 1.6174% 0.4994% 0.0069% - 117 0.0000% 0.0209% 0.7892% 2.1213% 0.2580% - 117 0.0036% 0.3601% 1.6111% 0.5307% 0.0078% - 118 0.0000% 0.0177% 0.7313% 2.1522% 0.2879% - 118 0.0031% 0.3358% 1.6023% 0.5631% 0.0088% - 119 0.0000% 0.0149% 0.6754% 2.1776% 0.3205% - 119 0.0027% 0.3126% 1.5911% 0.5966% 0.0100% - 120 0.0000% 0.0126% 0.6218% 2.1971% 0.3561% - 120 0.0024% 0.2905% 1.5775% 0.6311% 0.0113% - 121 0.0000% 0.0105% 0.5704% 2.2107% 0.3948% - 121 0.0021% 0.2696% 1.5616% 0.6666% 0.0127% - 122 0.0000% 0.0088% 0.5214% 2.2180% 0.4367% - 122 0.0018% 0.2498% 1.5434% 0.7031% 0.0144% - 123 0.0000% 0.0073% 0.4750% 2.2189% 0.4821% - 123 0.0015% 0.2310% 1.5230% 0.7405% 0.0162% - 124 0.0000% 0.0060% 0.4311% 2.2134% 0.5310% - 124 0.0013% 0.2134% 1.5005% 0.7786% 0.0182% - 125 0.0000% 0.0049% 0.3898% 2.2013% 0.5836% - 125 0.0012% 0.1967% 1.4760% 0.8175% 0.0204% - 126 0.0000% 0.0040% 0.3511% 2.1827% 0.6400% - 126 0.0010% 0.1811% 1.4496% 0.8571% 0.0229% - 127 0.0000% 0.0033% 0.3150% 2.1576% 0.7002% - 127 0.0009% 0.1664% 1.4214% 0.8973% 0.0257% - 128 0.0000% 0.0027% 0.2814% 2.1261% 0.7643% - 128 0.0007% 0.1527% 1.3915% 0.9379% 0.0287% - 129 0.0000% 0.0021% 0.2504% 2.0884% 0.8324% - 129 0.0006% 0.1398% 1.3600% 0.9789% 0.0321% - 130 0.0000% 0.0017% 0.2218% 2.0448% 0.9044% - 130 0.0005% 0.1279% 1.3271% 1.0202% 0.0358% - 131 0.0000% 0.0014% 0.1956% 1.9954% 0.9802% - 131 0.0005% 0.1167% 1.2928% 1.0616% 0.0399% - 132 0.0000% 0.0011% 0.1717% 1.9405% 1.0598% - 132 0.0004% 0.1064% 1.2574% 1.1030% 0.0444% - 133 0.0000% 0.0008% 0.1500% 1.8807% 1.1430% - 133 0.0003% 0.0967% 1.2209% 1.1444% 0.0493% - 134 0.0000% 0.0007% 0.1303% 1.8161% 1.2297% - 134 0.0003% 0.0878% 1.1835% 1.1855% 0.0548% - 135 0.0000% 0.0005% 0.1127% 1.7473% 1.3196% - 135 0.0002% 0.0796% 1.1453% 1.2262% 0.0607% - 136 0.0000% 0.0004% 0.0969% 1.6747% 1.4124% - 136 0.0002% 0.0720% 1.1065% 1.2664% 0.0672% - 137 0.0000% 0.0003% 0.0828% 1.5989% 1.5077% - 137 0.0002% 0.0650% 1.0672% 1.3059% 0.0743% - 138 0.0000% 0.0002% 0.0704% 1.5204% 1.6053% - 138 0.0001% 0.0586% 1.0275% 1.3446% 0.0821% - 139 0.0000% 0.0002% 0.0595% 1.4397% 1.7046% - 139 0.0001% 0.0528% 0.9876% 1.3824% 0.0905% - 140 0.0000% 0.0001% 0.0499% 1.3573% 1.8050% - 140 0.0001% 0.0474% 0.9475% 1.4190% 0.0997% - 141 0.0000% 0.0001% 0.0416% 1.2739% 1.9061% - 141 0.0001% 0.0424% 0.9075% 1.4543% 0.1097% - 142 0.0000% 0.0001% 0.0344% 1.1901% 2.0072% - 142 0.0001% 0.0380% 0.8676% 1.4881% 0.1205% - 143 0.0000% 0.0000% 0.0282% 1.1062% 2.1075% - 143 0.0001% 0.0339% 0.8280% 1.5204% 0.1322% - 144 0.0000% 0.0000% 0.0230% 1.0231% 2.2063% - 144 0.0001% 0.0302% 0.7887% 1.5509% 0.1449% - 145 0.0000% 0.0000% 0.0185% 0.9410% 2.3029% - 145 0.0000% 0.0268% 0.7499% 1.5795% 0.1586% - 146 0.0000% 0.0000% 0.0148% 0.8607% 2.3962% - 146 0.0000% 0.0238% 0.7117% 1.6060% 0.1733% - 147 0.0000% 0.0000% 0.0117% 0.7825% 2.4854% - 147 0.0000% 0.0211% 0.6742% 1.6303% 0.1893% - 148 0.0000% 0.0000% 0.0092% 0.7070% 2.5695% - 148 0.0000% 0.0186% 0.6374% 1.6524% 0.2064% - 149 0.0000% 0.0000% 0.0071% 0.6345% 2.6474% - 149 0.0000% 0.0164% 0.6015% 1.6719% 0.2247% - 150 0.0000% 0.0000% 0.0055% 0.5654% 2.7182% - 150 0.0000% 0.0144% 0.5665% 1.6889% 0.2444% - 151 0.0000% 0.0000% 0.0041% 0.4999% 2.7808% - 151 0.0000% 0.0126% 0.5324% 1.7032% 0.2655% - 152 0.0000% 0.0000% 0.0031% 0.4385% 2.8339% - 152 0.0000% 0.0111% 0.4994% 1.7147% 0.2880% - 153 0.0000% 0.0000% 0.0023% 0.3813% 2.8767% - 153 0.0000% 0.0096% 0.4675% 1.7234% 0.3120% - 154 0.0000% 0.0000% 0.0016% 0.3285% 2.9079% - 154 0.0000% 0.0084% 0.4367% 1.7291% 0.3376% - 155 0.0000% 0.0000% 0.0012% 0.2801% 2.9265% - 155 0.0000% 0.0073% 0.4070% 1.7318% 0.3648% - 156 0.0000% 0.0000% 0.0008% 0.2362% 2.9315% - 156 0.0000% 0.0063% 0.3786% 1.7315% 0.3936% - 157 0.0000% 0.0000% 0.0005% 0.1967% 2.9219% - 157 0.0000% 0.0055% 0.3513% 1.7280% 0.4242% - 158 0.0000% 0.0000% 0.0004% 0.1617% 2.8968% - 158 0.0000% 0.0047% 0.3253% 1.7215% 0.4566% - 159 0.0000% 0.0000% 0.0002% 0.1310% 2.8554% - 159 0.0000% 0.0040% 0.3005% 1.7119% 0.4907% - 160 0.0000% 0.0000% 0.0001% 0.1044% 2.7972% - 160 0.0000% 0.0034% 0.2770% 1.6991% 0.5267% - 161 0.0000% 0.0000% 0.0001% 0.0817% 2.7216% - 161 0.0000% 0.0029% 0.2546% 1.6833% 0.5645% - 162 0.0000% 0.0000% 0.0001% 0.0627% 2.6283% - 162 0.0000% 0.0025% 0.2335% 1.6645% 0.6042% - 163 0.0000% 0.0000% 0.0000% 0.0469% 2.5173% - 163 0.0000% 0.0021% 0.2136% 1.6426% 0.6457% - 164 0.0000% 0.0000% 0.0000% 0.0342% 2.3888% - 164 0.0000% 0.0018% 0.1949% 1.6179% 0.6891% - 165 0.0000% 0.0000% 0.0000% 0.0242% 2.2434% - 165 0.0000% 0.0015% 0.1774% 1.5904% 0.7344% - 166 0.0000% 0.0000% 0.0000% 0.0165% 2.0819% - 166 0.0000% 0.0013% 0.1610% 1.5602% 0.7815% - 167 0.0000% 0.0000% 0.0000% 0.0107% 1.9058% - 167 0.0000% 0.0011% 0.1457% 1.5274% 0.8303% - 168 0.0000% 0.0000% 0.0000% 0.0066% 1.7167% - 168 0.0000% 0.0009% 0.1315% 1.4921% 0.8809% - 169 0.0000% 0.0000% 0.0000% 0.0038% 1.5172% - 169 0.0000% 0.0007% 0.1183% 1.4545% 0.9331% - 170 0.0000% 0.0000% 0.0000% 0.0020% 1.3100% - 170 0.0000% 0.0006% 0.1061% 1.4148% 0.9869% - 171 0.0000% 0.0000% 0.0000% 0.0009% 1.0989% - 171 0.0000% 0.0005% 0.0949% 1.3730% 1.0422% - 172 0.0000% 0.0000% 0.0000% 0.0004% 0.8882% - 172 0.0000% 0.0004% 0.0846% 1.3294% 1.0988% - 173 0.0000% 0.0000% 0.0000% 0.0001% 0.6833% - 173 0.0000% 0.0003% 0.0751% 1.2842% 1.1567% - 174 0.0000% 0.0000% 0.0000% 0.0000% 0.4902% - 174 0.0000% 0.0003% 0.0665% 1.2375% 1.2156% - 175 0.0000% 0.0000% 0.0000% 0.0000% 0.3163% - 175 0.0000% 0.0002% 0.0586% 1.1896% 1.2755% - 176 0.0000% 0.0000% 0.0000% 0.0000% 0.1700% - 176 0.0000% 0.0002% 0.0515% 1.1406% 1.3362% - 177 0.0000% 0.0000% 0.0000% 0.0000% 0.0609% - 177 0.0000% 0.0001% 0.0451% 1.0908% 1.3974% - - - - - - - - 178 0.0000% 0.0001% 0.0393% 1.0403% 1.4589% - - - - - - - - 179 0.0000% 0.0001% 0.0341% 0.9894% 1.5205% - - - - - - - - 180 0.0000% 0.0001% 0.0295% 0.9383% 1.5820% - - - - - - - - 181 0.0000% 0.0001% 0.0254% 0.8872% 1.6430% - - - - - - - - 182 0.0000% 0.0000% 0.0217% 0.8363% 1.7034% - - - - - - - - 183 0.0000% 0.0000% 0.0185% 0.7859% 1.7628% - - - - - - - - 184 0.0000% 0.0000% 0.0157% 0.7360% 1.8208% - - - - - - - - 185 0.0000% 0.0000% 0.0132% 0.6869% 1.8772% - - - - - - - - 186 0.0000% 0.0000% 0.0111% 0.6388% 1.9315% - - - - - - - - 187 0.0000% 0.0000% 0.0092% 0.5918% 1.9836% - - - - - - - - 188 0.0000% 0.0000% 0.0077% 0.5462% 2.0328% - - - - - - - - 189 0.0000% 0.0000% 0.0063% 0.5020% 2.0789% - - - - - - - - 190 0.0000% 0.0000% 0.0051% 0.4594% 2.1215% - - - - - - - - 191 0.0000% 0.0000% 0.0042% 0.4185% 2.1602% - - - - - - - - 192 0.0000% 0.0000% 0.0034% 0.3795% 2.1946% - - - - - - - - 193 0.0000% 0.0000% 0.0027% 0.3423% 2.2242% - - - - - - - - 194 0.0000% 0.0000% 0.0021% 0.3072% 2.2486% - - - - - - - - 195 0.0000% 0.0000% 0.0017% 0.2741% 2.2676% - - - - - - - - 196 0.0000% 0.0000% 0.0013% 0.2432% 2.2805% - - - - - - - - 197 0.0000% 0.0000% 0.0010% 0.2143% 2.2872% - - - - - - - - 198 0.0000% 0.0000% 0.0007% 0.1876% 2.2871% - - - - - - - - 199 0.0000% 0.0000% 0.0006% 0.1631% 2.2800% - - - - - - - - 200 0.0000% 0.0000% 0.0004% 0.1406% 2.2655% - - - - - - - - 201 0.0000% 0.0000% 0.0003% 0.1202% 2.2433% - - - - - - - - 202 0.0000% 0.0000% 0.0002% 0.1019% 2.2133% - - - - - - - - 203 0.0000% 0.0000% 0.0001% 0.0855% 2.1751% - - - - - - - - 204 0.0000% 0.0000% 0.0001% 0.0709% 2.1286% - - - - - - - - 205 0.0000% 0.0000% 0.0001% 0.0582% 2.0737% - - - - - - - - 206 0.0000% 0.0000% 0.0000% 0.0471% 2.0104% - - - - - - - - 207 0.0000% 0.0000% 0.0000% 0.0376% 1.9387% - - - - - - - - 208 0.0000% 0.0000% 0.0000% 0.0295% 1.8587% - - - - - - - - 209 0.0000% 0.0000% 0.0000% 0.0228% 1.7707% - - - - - - - - 210 0.0000% 0.0000% 0.0000% 0.0172% 1.6750% - - - - - - - - 211 0.0000% 0.0000% 0.0000% 0.0127% 1.5720% - - - - - - - - 212 0.0000% 0.0000% 0.0000% 0.0091% 1.4623% - - - - - - - - 213 0.0000% 0.0000% 0.0000% 0.0064% 1.3467% - - - - - - - - 214 0.0000% 0.0000% 0.0000% 0.0043% 1.2260% - - - - - - - - 215 0.0000% 0.0000% 0.0000% 0.0027% 1.1013% - - - - - - - - 216 0.0000% 0.0000% 0.0000% 0.0017% 0.9739% - - - - - - - - 217 0.0000% 0.0000% 0.0000% 0.0010% 0.8452% - - - - - - - - 218 0.0000% 0.0000% 0.0000% 0.0005% 0.7168% - - - - - - - - 219 0.0000% 0.0000% 0.0000% 0.0002% 0.5908% - - - - - - - - 220 0.0000% 0.0000% 0.0000% 0.0001% 0.4694% - - - - - - - - 221 0.0000% 0.0000% 0.0000% 0.0000% 0.3550% - - - - - - - - 222 0.0000% 0.0000% 0.0000% 0.0000% 0.2505% - - - - - - - - 223 0.0000% 0.0000% 0.0000% 0.0000% 0.1590% - - - - - - - - 224 0.0000% 0.0000% 0.0000% 0.0000% 0.0841% - - - - - - - - 225 0.0000% 0.0000% 0.0000% 0.0000% 0.0296% - Continues...
The One Over None
I Know... -
Quote: Originally posted by JADELottery on May 17, 2015
We've been working on applying the concept of Sums to other lottery types and in a different way.
The Sum is a math process that adds the numbers in a lottery game like Pick 3 to come up with a total or sum of the numbers.
As an example, if the following are some Pick 3 combinations:
Draw A B C 1 0 5 9 2 7 9 1 3 8 8 8 4 2 3 1
then their sums are as follows:
Draw A + B + C = Sum 1 0 + 5 + 9 = 14 2 7 + 9 + 1 = 17 3 8 + 8 + 8 = 24 4 2 + 3 + 1 = 6
Now, that's pretty simple and it's what we would call an Inline Sum; meaning it is inline with the combination.
The Inline Sum is in this direction:
Draw A → B → C → Sum 1 0 → 5 → 9 → 14 2 7 → 9 → 1 → 17 3 8 → 8 → 8 → 24 4 2 → 3 → 1 → 6
There is another way to sum these numbers and it is what we call Insequence; meaning it sums the numbers in a column of the combination as they are drawn.
The Insequence Sum is in this direction:
Draw A B C 1 0 5 9 ↓ ↓ ↓ ↓ 2 7 9 1 ↓ ↓ ↓ ↓ 3 8 8 8 ↓ ↓ ↓ ↓ Sum 15 22 18
Then moving down the draws the next Insequence Sum is:
Draw A B C 2 7 9 1 ↓ ↓ ↓ ↓ 3 8 8 8 ↓ ↓ ↓ ↓ 4 2 3 1 ↓ ↓ ↓ ↓ Sum 17 20 10
This Insequence Sum of the Pick 3 numbers follows the same distribution of sums as the Inline Sum.
Below the range of sums and the total count for each sum is shown:
Sum Count 0 1 1 3 2 6 3 10 4 15 5 21 6 28 7 36 8 45 9 55 10 63 11 69 12 73 13 75 14 75 15 73 16 69 17 63 18 55 19 45 20 36 21 28 22 21 23 15 24 10 25 6 26 3 27 1
We're only going over the introduction of concept of Insequnce Sums right now.
Next we will get into the application to games like Powerball and Mega Millions.
Continues...0 0 0 0 1 3 2 3 2 7 6 4 3 7 9 7 4 10 9 16 5 16 34 17 6 32 36 32 7 44 46 43 8 60 60 63 9 67 93 85 10 83 100 123 11 131 123 129 12 131 176 157 13 170 186 181 14 164 215 225 15 216 208 214 16 267 229 229 17 231 260 252 18 254 238 250 19 242 255 213 20 253 236 228 21 229 262 235 22 214 207 196 23 210 172 195 24 178 138 166 25 132 120 118 26 118 94 104 27 93 83 84 28 58 50 51 29 54 30 42 30 32 30 36 31 26 23 15 32 12 9 17 33 6 8 14 34 4 5 5 35 1 2 5 36 0 1 1 Is there a reason why you picked 4 drawings for the vertical sum?
That sum can range from 0 to 36.
What did you find in it that is worth a bet?
Local vertical sums for four drawings are above.
-
Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineUsing the Mega Millions we can look up the probabilities a particular Insequence Sum was likely to occur.
Year Month Day A B C D E MB 2015 5 8 9 21 25 66 72 7 2015 5 12 14 30 33 36 44 2 2015 5 15 11 17 21 36 74 15 - - Sum 34 68 79 138 190 24 Looking a the Mega Ball (MB) to start, we can see the Insequence Sum is 24.
In the Mega Millions probability chart we find there was a 5.0074% probability of a sum 24 happening.
Mega Millions Sum A B C D E MB 24 2.1286% 0.0709% 0.0001% 0.0000% 0.0000% 5.0074% Also, this just happens to be the most frequent Insequence Sum for the Mega Ball.
Continues...
The One Over None
I Know... -
Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineQuote: Originally posted by SergeM on May 17, 2015
0 0 0 0 1 3 2 3 2 7 6 4 3 7 9 7 4 10 9 16 5 16 34 17 6 32 36 32 7 44 46 43 8 60 60 63 9 67 93 85 10 83 100 123 11 131 123 129 12 131 176 157 13 170 186 181 14 164 215 225 15 216 208 214 16 267 229 229 17 231 260 252 18 254 238 250 19 242 255 213 20 253 236 228 21 229 262 235 22 214 207 196 23 210 172 195 24 178 138 166 25 132 120 118 26 118 94 104 27 93 83 84 28 58 50 51 29 54 30 42 30 32 30 36 31 26 23 15 32 12 9 17 33 6 8 14 34 4 5 5 35 1 2 5 36 0 1 1 Is there a reason why you picked 4 drawings for the vertical sum?
That sum can range from 0 to 36.
What did you find in it that is worth a bet?
Local vertical sums for four drawings are above.
We used 4 draws to show the Insequence Sums move down the draw sequence.
It's just a sum of only 3 numbers as shown below.
Draw A B C 1 0 5 9 ↓ ↓ ↓ ↓ 2 7 9 1 ↓ ↓ ↓ ↓ 3 8 8 8 ↓ ↓ ↓ ↓ Sum 15 22 18 the next three sum in our example draws is:
Draw A B C 2 7 9 1 ↓ ↓ ↓ ↓ 3 8 8 8 ↓ ↓ ↓ ↓ 4 2 3 1 ↓ ↓ ↓ ↓ Sum 17 20 10 note the three sums has moved down the draws.
The One Over None
I Know... -
Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineQuote: Originally posted by JADELottery on May 17, 2015
Using the Mega Millions we can look up the probabilities a particular Insequence Sum was likely to occur.
Year Month Day A B C D E MB 2015 5 8 9 21 25 66 72 7 2015 5 12 14 30 33 36 44 2 2015 5 15 11 17 21 36 74 15 - - Sum 34 68 79 138 190 24 Looking a the Mega Ball (MB) to start, we can see the Insequence Sum is 24.
In the Mega Millions probability chart we find there was a 5.0074% probability of a sum 24 happening.
Mega Millions Sum A B C D E MB 24 2.1286% 0.0709% 0.0001% 0.0000% 0.0000% 5.0074% Also, this just happens to be the most frequent Insequence Sum for the Mega Ball.
Continues...
Moving on we can see what the probabilies were for each of the columns.
Year Month Day A B C D E MB 2015 5 8 9 21 25 66 72 7 2015 5 12 14 30 33 36 44 2 2015 5 15 11 17 21 36 74 15 - - Sum 34 68 79 138 190 24 The probabilities for each Insequence Sum.
/ Mega Millions A B C D E MB Sum 34 68 79 138 190 24 Proability 2.2486% 1.6991% 0.6015% 1.3446% 2.1215% 5.0074% Continues...
The One Over None
I Know... -
How do you use any of this analysis to figure out what numbers to play for the next PB/MM game ???
-
Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineQuote: Originally posted by destinycreation on May 17, 2015
How do you use any of this analysis to figure out what numbers to play for the next PB/MM game ???
We will be getting to that in a bit.
The One Over None
I Know... -
JADE
I like the way you think, gona automate my wheels
RL
....
-
Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineWe use the Insequence Sums and Probability tables to select numbers for the next drawing.
Below are the last two Mega Millions draws as of 2015-05-17.
Year Month Day A B C D E MB 2015 5 12 14 30 33 36 44 2 2015 5 15 11 17 21 36 74 15 From this the next draw is unknown.
Year Month Day A B C D E MB 2015 5 12 14 30 33 36 44 2 2015 5 15 11 17 21 36 74 15 2015 5 19 ?? ?? ?? ?? ?? ?? However, we do know the Insequence Sums.
This becomes a matter of 'What comes next?' based on what we know about the previous two draws and the Insequence Sums.
We will look at the Mega Ball (MB) to start.
The last two MB numbers were 2 and 15.
This can be setup as an equation like this: 2 + 15 + ?? = Sum
The Sum is already known and we know the probabilities of each Sum.
Now, we can guess the next MB ?? by subtracting 2 and 15 from the Sum like so: ?? = Sum - 2 - 17
Continues...
The One Over None
I Know... -
Native American Eagle SunMN
United States
Member #21
December 7, 2001
4,812 Posts
OfflineQuote: Originally posted by JADELottery on May 17, 2015
We use the Insequence Sums and Probability tables to select numbers for the next drawing.
Below are the last two Mega Millions draws as of 2015-05-17.
Year Month Day A B C D E MB 2015 5 12 14 30 33 36 44 2 2015 5 15 11 17 21 36 74 15 From this the next draw is unknown.
Year Month Day A B C D E MB 2015 5 12 14 30 33 36 44 2 2015 5 15 11 17 21 36 74 15 2015 5 19 ?? ?? ?? ?? ?? ?? However, we do know the Insequence Sums.
This becomes a matter of 'What comes next?' based on what we know about the previous two draws and the Insequence Sums.
We will look at the Mega Ball (MB) to start.
The last two MB numbers were 2 and 15.
This can be setup as an equation like this: 2 + 15 + ?? = Sum
The Sum is already known and we know the probabilities of each Sum.
Now, we can guess the next MB ?? by subtracting 2 and 15 from the Sum like so: ?? = Sum - 2 - 17
Continues...
typo in the last post.
The equation should be ?? = Sum - 2 - 15.
The One Over None
I Know...