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3if3 and 4if6 wheel using 20 numbers

Topic closed. 21 replies. Last post 12 years ago by Todd.

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Pretoria
South Africa
Member #6062
August 4, 2004
54 Posts
Offline
Posted: January 25, 2005, 4:14 am - IP Logged

Here is a 3if3 and 4if6 wheel using 20 numbers. It has 106 lines and is for a 6/49 Lottery.

Can anyone reduce the lines and still maintain both 3if3 and 4if6 cover?

 1  2  3  4  9 10
 1  2  3  6 15 18
 1  2  3  7 10 18
 1  2  3  7 12 17
 1  2  4  5  8 12
 1  2  4  6 12 20
 1  2  4  7 11 15
 1  2  4  7 12 16
 1  2  5  8 11 17
 1  2  9 13 16 17
 1  2 10 12 13 14
 1  2 11 15 17 19
 1  3  4  5  9 18
 1  3  4  9 14 16
 1  3  4 13 15 17
 1  3  6 11 14 15
 1  3  8  9 11 17
 1  3  8 10 13 15
 1  3 10 14 19 20
 1  4  6  7 15 19
 1  4  7  8 13 20
 1  4 10 13 16 18
 1  5  6  7 12 13
 1  5  6  8 17 19
 1  5 10 15 16 17
 1  5 14 17 18 20
 1  6  7  9 10 11
 1  6  8 11 13 20
 1  6 11 14 16 19
 1  7  9 12 14 19
 1  8  9 14 16 20
 1  8 10 11 12 18
 1  8 13 18 19 20
 1  9 12 14 15 20
 2  3  5  8 10 16
 2  3  5 10 14 15
 2  3  5 16 19 20
 2  3  7  8 13 19
 2  3 11 14 18 20
 2  4  6  8  9 14
 2  4  6  8 16 18
 2  4  7 13 15 16
 2  4  8  9 11 19
 2  4 11 16 17 18
 2  5  6  7 11 18
 2  5  6 10 18 19
 2  5  6 13 14 16
 2  5  9 13 15 20
 2  6  7 14 17 19
 2  6  9 10 11 20
 2  6  9 12 18 19
 2  7  9 12 15 17
 2  7 10 14 17 20
 2  8 15 17 19 20
 2 11 12 13 14 16
 2 12 13 14 15 18
 3  4  5  6 15 20
 3  4  5  9 10 12
 3  4  6 10 13 17
 3  4  7 11 15 16
 3  4  8 14 18 19
 3  4  9 11 12 13
 3  5  7 11 13 17
 3  5  7 13 14 15
 3  5  7 13 18 19
 3  6  7  9 19 20
 3  6  8  9 12 15
 3  6 10 11 12 17
 3  6 12 14 16 17
 3  7  8  9 17 20
 3  7 11 15 18 19
 3  9 10 17 18 19
 3 11 12 13 16 20
 3 12 16 17 18 19
 4  5  6  7 14 20
 4  5  6 10 12 16
 4  5  7  8  9 10
 4  5  8 10 11 14
 4  5  9 10 13 20
 4  5 13 14 17 19
 4  6 10 11 15 18
 4  7 11 16 17 20
 4  7 12 14 17 18
 4  8  9 14 15 17
 4  9 10 18 19 20
 4 10 12 15 16 19
 5  6  9 12 17 20
 5  6  9 13 16 19
 5  6 15 16 18 20
 5  7  8 12 15 18
 5  7  8 16 17 18
 5  8  9 11 12 14
 5  8  9 12 13 16
 5  8 10 11 16 20
 5 11 12 15 19 20
 6  7  8 10 16 19
 6  8 10 13 14 18
 6 11 13 14 17 20
 6 11 13 15 17 18
 7  8 11 12 14 20
 7  9 13 14 16 18
 7 10 11 13 15 19
 7 10 12 15 18 20
 8  9 11 15 16 18
 8 10 12 13 17 19
 9 10 14 15 16 19

Cheers,

Datenda

Tata Syndicate Boss

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    Chief Bottle Washer
    New Jersey
    United States
    Member #1
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    Posted: January 25, 2005, 8:33 am - IP Logged

    The Lottery Post Wheels page, which will be implemented within the next week or two, will have two wheels with fewer combinations, maintaining very close to the guarantee you're looking for.  They are:



    1. 3if3of20 guaranteed and 4if6of20 99.08% guaranteed: 72 combinations

    2. 3if3of20 81.06% guaranteed and 4if6of20 guaranteed: 66 combinations

     

    Check the State Lottery Report Card
    What grade did your lottery earn?

     

    Sign the Petition for True Lottery Drawings
    Help eliminate computerized drawings!

      Avatar
      Pretoria
      South Africa
      Member #6062
      August 4, 2004
      54 Posts
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      Posted: January 25, 2005, 11:43 am - IP Logged

      Todd,

      The wheels you refer to still do not have 100% cover of both 3if3 and 4if6

      In the meantime I have managed to reduce the lines from 106 to 95 and still maintain both 3if3 and 4if6 100% cover.

       1  2  3  4 10 14
       1  2  3  5 15 18
       1  2  3  5 15 20
       1  2  3  6  9 18
       1  2  4 12 18 20
       1  2  7  8  9 12
       1  2  8 11 17 20
       1  2  9 10 13 16
       1  2 14 16 19 20
       1  3  4  5 11 16
       1  3  5  6  8 14
       1  3  6 12 16 19
       1  3  7  9 14 17
       1  3  8 10 11 18
       1  3  8 12 13 15
       1  4  5  7 10 19
       1  4  5  7 13 16
       1  4  6 13 17 19
       1  4  8 15 16 17
       1  4  9 11 15 19
       1  4 10 12 14 15
       1  5  7  9 13 20
       1  5 10 15 17 18
       1  5 11 12 13 17
       1  6  7 10 11 12
       1  6  7 13 15 18
       1  6  9 10 17 20
       1  6 11 14 16 20
       1  7  8 16 18 19
       1  9 11 13 14 18
       2  3  4 10 12 17
       2  3  5  6  8 16
       2  3  7 11 13 19
       2  3  8  9 14 16
       2  4  5  8 13 18
       2  4  5 14 17 20
       2  4  6  7 11 15
       2  4  6  8 10 12
       2  4  9 16 19 20
       2  5  6  7 16 17
       2  5  7 11 12 13
       2  5  9 10 11 14
       2  5 12 17 18 19
       2  6  8 10 15 19
       2  6 12 13 14 20
       2  6 13 15 17 19
       2  7 10 14 18 20
       2  7 10 15 16 18
       2  9 10 11 12 19
       2  9 13 14 15 17
       2 11 12 15 16 18
       3  4  6  7  8 20
       3  4  8  9 10 13
       3  4 12 13 16 17
       3  4 14 15 18 19
       3  5  6  7  8 17
       3  5  6 10 11 18
       3  5  6 10 13 14
       3  5  6 12 13 15
       3  5  7 12 14 18
       3  5  8  9 17 19
       3  6 11 14 15 17
       3  7  9 10 15 16
       3  7 10 15 16 20
       3  8 10 13 19 20
       3  9 11 12 14 20
       3 13 16 17 18 20
       4  5  6  9 12 15
       4  5  7  9 19 20
       4  6  7  9 14 19
       4  6  9 11 16 18
       4  6 10 14 16 18
       4  7  9 11 17 18
       4  7 12 13 14 16
       4  8  9 17 19 20
       4  8 11 12 14 19
       4  8 13 15 18 20
       4 10 11 13 15 20
       5  6 11 18 19 20
       5  7  8 11 14 15
       5  8  9 10 12 19
       5  8 10 12 16 20
       5  9 12 16 17 18
       5 13 14 15 16 19
       6  7 11 15 16 20
       6  8  9 11 13 16
       6  8 12 14 17 18
       6  9 12 15 17 20
       7  8 10 11 17 18
       7  8 10 13 14 17
       7  8 11 13 16 19
       7 12 15 17 19 20
       8  9 14 15 18 20
       9 10 12 13 18 19
      10 11 14 16 17 19

      Cheers,

      Datenda

      Tata Syndicate Boss

        RJOh's avatar - chipmunk
        mid-Ohio
        United States
        Member #9
        March 24, 2001
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        Posted: January 25, 2005, 12:05 pm - IP Logged

        CoverMaster generated a 4if6of20 wheel with 85 lines that have 93.4% coverage for 3if3of20 and it generated a 3if3of20 wheel with 83 lines that have 99.8% coverage for 4if6of20. Both wheels were generated under a minute on my computer.

        RJOh

         * you don't need to buy more tickets, just buy a winning ticket * 
           
                     Evil Looking       

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          Canada
          Member #2192
          August 29, 2003
          27 Posts
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          Posted: January 25, 2005, 11:42 pm - IP Logged

          89 Sets that cover both cases:



          1 2 3 4 5 6

          1 2 3 7 8 9

          1 2 4 10 11 12

          1 2 7 10 13 14

          1 2 10 11 15 16

          1 2 17 18 19 20

          1 3 5 12 13 17

          1 3 8 10 12 18

          1 3 8 15 16 17

          1 3 11 14 19 20

          1 4 5 6 15 16

          1 4 5 7 14 18

          1 4 8 13 19 20

          1 4 9 12 14 17

          1 5 7 8 11 17

          1 5 9 10 19 20

          1 6 7 12 19 20

          1 6 8 10 14 17

          1 6 9 11 15 16

          1 6 9 13 16 18

          1 6 11 13 16 18

          1 6 13 15 16 18

          1 7 13 15 16 19

          1 9 11 13 15 18

          1 12 14 15 16 20

          2 3 6 10 13 19

          2 3 9 12 13 20

          2 3 11 14 17 18

          2 3 12 13 15 16

          2 4 6 9 14 20

          2 4 7 9 11 19

          2 4 8 13 17 18

          2 4 9 12 15 16

          2 5 7 11 13 20

          2 5 8 12 14 15

          2 5 8 12 16 19

          2 5 8 14 15 16

          2 5 8 14 15 19

          2 5 9 10 17 18

          2 6 7 12 17 18

          2 6 8 10 11 20

          2 6 15 16 17 19

          2 7 15 16 18 20

          2 8 12 14 16 19

          2 8 12 15 16 19

          3 4 7 10 15 17

          3 4 7 16 17 20

          3 4 8 11 13 14

          3 4 9 12 18 19

          3 4 10 15 16 17

          3 4 10 15 17 20

          3 4 14 15 16 18

          3 5 6 8 18 20

          3 5 7 13 18 19

          3 5 9 10 11 14

          3 5 15 16 18 19

          3 6 7 11 12 14

          3 6 8 9 17 19

          3 6 11 14 15 16

          3 7 10 15 16 20

          3 9 10 13 15 16

          4 5 6 11 17 19

          4 5 8 9 10 13

          4 5 11 12 18 20

          4 6 7 8 12 13

          4 6 10 14 18 19

          4 7 10 16 17 20

          4 7 15 16 17 20

          4 8 13 14 15 16

          4 11 15 16 19 20

          5 6 7 9 10 12

          5 6 13 14 17 20

          5 7 8 11 15 16

          5 9 10 15 16 19

          5 12 14 15 16 19

          5 13 15 16 17 20

          6 7 10 12 15 16

          6 8 9 15 16 20

          6 9 11 13 15 18

          7 8 9 14 18 20

          7 8 10 11 18 19

          7 9 13 14 17 19

          7 9 14 15 16 17

          8 9 11 12 17 20

          8 10 14 15 16 18

          9 11 13 15 16 18

          10 11 12 13 17 19

          10 12 13 14 18 20

          11 12 15 16 17 18

            Todd's avatar - Cylon 2.gif
            Chief Bottle Washer
            New Jersey
            United States
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            Posted: January 25, 2005, 11:52 pm - IP Logged
            Quote: Originally posted by Datenda on January 25, 2005



            Todd,

            The wheels you refer to still do not have 100% cover of both 3if3 and 4if6




            I think 100% coverage on one and 99.08% coverage on the other is close enough for me, in order to reduce something like 30 or 40 tickets.  You're going to squabble over .92%??  That's where mathemical precision leaves reality and steps into the theoretical.

             

            Check the State Lottery Report Card
            What grade did your lottery earn?

             

            Sign the Petition for True Lottery Drawings
            Help eliminate computerized drawings!

              Avatar
              New Member
              Mobile, AL
              United States
              Member #10751
              January 24, 2005
              3 Posts
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              Posted: January 26, 2005, 12:23 am - IP Logged

              I`ve got a 20 number-120 ticket system that guarantees 12 fours in 98.5%

              with 6 numbers! I`ll post it tomorrow.

              Rob Erhardt

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                Pretoria
                South Africa
                Member #6062
                August 4, 2004
                54 Posts
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                Posted: January 26, 2005, 3:07 am - IP Logged

                Rob Erhardt,

                This sounds very good. I am looking forward to seeing it.

                Cheers,

                Datenda

                Tata Syndicate Boss

                  Todd's avatar - Cylon 2.gif
                  Chief Bottle Washer
                  New Jersey
                  United States
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                  Posted: January 26, 2005, 8:48 am - IP Logged

                  Me too.

                   

                  Check the State Lottery Report Card
                  What grade did your lottery earn?

                   

                  Sign the Petition for True Lottery Drawings
                  Help eliminate computerized drawings!

                    BobP's avatar - bobp avatar.png
                    Dump Water Florida
                    United States
                    Member #380
                    June 5, 2002
                    3114 Posts
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                    Posted: January 27, 2005, 2:15 am - IP Logged

                    Here is one of my best wheels, 21 numbers, 3if3, 4if6 with a 3+3 groups jackpot shot all in 96 lines.  For the jackpot shot you write out your numbers under the place holder pointer numbers in groups of 3 numbers you believe will be drawn together as a group. Get two groups correct and you win a jackpot, costs nothing extra or you can just ignore that aspect.

                     1  2  3  4  5  6
                     1  2  3  7  8  9
                     1  2  3 10 11 12
                     1  2  3 13 14 15
                     1  2  3 16 17 18
                     1  2  3 19 20 21
                     1  2  4  9 16 20
                     1  2  5 10 13 21
                     1  2  7 11 12 19
                     1  2  8 12 17 21
                     1  3  6  9 15 21
                     1  3 11 13 18 20
                     1  4  7 10 13 16
                     1  4  7 15 17 19
                     1  4  8 11 14 17
                     1  4  9 12 15 18
                     1  4 11 15 16 21
                     1  5  7 11 15 20
                     1  5  7 12 20 21
                     1  5  8 10 18 20
                     1  5  8 14 17 19
                     1  5  8 15 16 19
                     1  5  9 13 17 20
                     1  5 12 14 16 20
                     1  6  7 14 18 21
                     1  6  8 12 13 19
                     1  6  9 11 16 20
                     1  6 10 15 17 20
                     1  9 10 14 18 19
                     1 11 13 14 16 21
                     2  3  5  9 13 17
                     2  3  5 10 15 21
                     2  3  6 12 18 21
                     2  4  7 11 18 20
                     2  4  8 10 15 19
                     2  4  8 13 18 21
                     2  4 11 14 17 21
                     2  4 12 14 16 19
                     2  5  7 10 14 17
                     2  5  8 11 13 16
                     2  5  9 14 18 19
                     2  5 12 15 18 20
                     2  6  7 12 15 16
                     2  6  8 11 14 20
                     2  6  9 10 13 18
                     2  6 13 16 17 19
                     2  7  9 17 19 21
                     2  7 10 13 16 20
                     2  7 10 15 18 21
                     2  9 11 15 17 20
                     2  9 12 13 16 21
                     3  4  7 10 15 18
                     3  4  7 12 14 21
                     3  4  8 15 16 20
                     3  4  9 10 17 21
                     3  4  9 11 13 19
                     3  4 11 14 18 19
                     3  4 12 15 18 19
                     3  5  7 13 16 21
                     3  5  8 12 14 18
                     3  5  9 10 12 20
                     3  5 11 15 17 19
                     3  6  7 10 15 19
                     3  6  7 14 18 20
                     3  6  8 11 17 21
                     3  6 12 13 16 20
                     3  7 11 14 16 19
                     3  7 12 14 17 20
                     3  8  9 12 16 20
                     3  8 10 13 17 19
                     3  9 10 14 16 18
                     4  5  6  7  8  9
                     4  5  6 10 11 12
                     4  5  6 13 14 15
                     4  5  6 16 17 18
                     4  5  6 19 20 21
                     4  8 12 13 17 20
                     4  9 10 14 18 20
                     5  7 12 13 18 19
                     5  8 12 15 17 21
                     5  9 10 15 16 19
                     5  9 11 14 18 21
                     6  7 11 13 17 21
                     6  8 10 14 16 21
                     6  8 11 15 18 19
                     6  9 12 14 17 19
                     7  8  9 10 11 12
                     7  8  9 13 14 15
                     7  8  9 16 17 18
                     7  8  9 19 20 21
                    10 11 12 13 14 15
                    10 11 12 16 17 18
                    10 11 12 19 20 21
                    13 14 15 16 17 18
                    13 14 15 19 20 21
                    16 17 18 19 20 21
                    End 96 lines. BobP

                      Hyperdimension's avatar - latest trace_171.gif

                      United States
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                      Posted: January 27, 2005, 7:42 pm - IP Logged
                      Quote: Originally posted by Luckydog2 on January 26, 2005

                      I`ve got a 20 number-120 ticket system that guarantees 12 fours in 98.5%

                      with 6 numbers! I`ll post it tomorrow.

                      Rob Erhardt








                      I'm waiting for your wheel, it sounds good..

                      El pensamiento ordena el caos..

                      http://1x2quinielas.blogspot.com

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                        New Member
                        Mobile, AL
                        United States
                        Member #10751
                        January 24, 2005
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                        Posted: January 27, 2005, 8:20 pm - IP Logged

                        That 20 number wheel is coming...tomorrow night!

                        Seems "work" keeps eating up my time.

                        Rob

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                          Dump Water Florida
                          United States
                          Member #380
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                          Posted: January 30, 2005, 4:13 am - IP Logged

                          Rob: I don't think such a wheel can exist, you may be reading the report wrong.

                          Datenda:
                          If you really want the wheel you asked for, go back and take another look at the one I posted because it not only does everything you asked for with one more number and fewer tickets, it actually exists and can be tested in CoverMaster in seconds.  BobP

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                            Bangalore
                            India
                            Member #2444
                            October 4, 2003
                            234 Posts
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                            Posted: January 30, 2005, 10:37 am - IP Logged

                            Hi Folks,

                            While Rob finds the wheel that he has kept us all salivating about, why not have a look at this link I just found surfing and tell me if there is anything worthwhile or "improvable"? Enjoy!!

                            InfoDamina

                            Good Luck!

                            Just Monkeying Around With Numbers...!

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                              United States
                              Member #9059
                              November 26, 2004
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                              Posted: February 2, 2005, 10:41 pm - IP Logged
                              Quote: Originally posted by BobP on January 30, 2005

                              Rob: I don't think such a wheel can exist, you may be reading the report wrong.


                              El pensamiento ordena el caos..

                              http://1x2quinielas.blogspot.com