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Guarantee 4 out of 13 numbers

Topic closed. 20 replies. Last post 7 years ago by Robersabel2.

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United States
Member #12081
March 4, 2005
5 Posts
Offline
Posted: July 12, 2010, 12:37 pm - IP Logged

The Pick 5 contains 39 numbers

Interested to determine how many lines of 13 numbers would guarantee 4.

Robert

    RL-RANDOMLOGIC's avatar - usafce

    United States
    Member #59354
    March 13, 2008
    4088 Posts
    Offline
    Posted: July 12, 2010, 11:56 pm - IP Logged

    The Pick 5 contains 39 numbers

    Interested to determine how many lines of 13 numbers would guarantee 4.

    Robert

    Robersable

    It would depend on how well balanced the lines of 13 were.

    Consider this, Lets say that you formed 3 lines of 13 using

    all 39 numbers only once,  each line would contain 715

    sets of 4.  The 3 lines of 13 would contain only 2145 sets.

    There are 82,251 sets of 4 in 39 numbers.  If you could

    arrange the lines without any repeats of 4 then it would

    take 82,251 / 715 = 115.04.  However this cannot be done

    to my knowledge.  There are 8,122,425,444 sets of 13 in

    39.  If you divided each set of 13 into 3 groups of 4, 4, 5

    and then added  4 from one group plus 4 from another

    and 5 from the 3rd  to form another set of 13,  and done

    this for all three groups then each set would have 7 repeats

    from the first 3 sets of 13.  Each time you built another 3 lines

    of 13 you would get more and more repeats and would

    need more and more lines of 13 to catch every set of 4 because

    each line of 13 would contain fewer and fewer non repeating sets.

    I would guess it could be done with around 500 to 1000

    sets of 13 but might take many more that that.  There

    might be a formula to compute the fewest lines needed

    but I do not know it.

    RL

    Working on my Ph.D.  "University of hard Knocks"

    I will consider the opinion that my winnings are a product of chance if you are willing to consider

    they are not.  Many great discoveries come while searching for something else

    USAF https://en.wikipedia.org/wiki/Prime_Base_Engineer_Emergency_Force

      US Flag Trump / 2016 & 2020  


      United States
      Member #12081
      March 4, 2005
      5 Posts
      Offline
      Posted: July 13, 2010, 12:51 pm - IP Logged

      Thanks for the explanation, and theory.

      Robert


        United States
        Member #12081
        March 4, 2005
        5 Posts
        Offline
        Posted: July 13, 2010, 1:21 pm - IP Logged

        I received the following response with 203 lines required.

        In Coverage design your question would
        be converted to v=39, k=13, t=4 as C(39,13,4).

        The link to the lowest current guaranteed 4 numbers list is 203 and it
        was created by Jan de Heer and Steve Muir.

        Thoughts?

        Robert

          Jack-C's avatar - us
          San Diego, CA
          United States
          Member #61467
          May 24, 2008
          28146 Posts
          Offline
          Posted: July 13, 2010, 1:59 pm - IP Logged

          The Pick 5 contains 39 numbers

          Interested to determine how many lines of 13 numbers would guarantee 4.

          Robert

          A 4if4 with 13 numbers requires 167 lines.

           1  2  3  4  8
           1  2  3  5  6
           1  2  3  5  8
           1  2  3  5 13
           1  2  3  6  9
           1  2  3  7 11
           1  2  3  8 10
           1  2  3 11 12
           1  2  4  5 11
           1  2  4  6 13
           1  2  4  7 10
           1  2  4  8  9
           1  2  4  8 11
           1  2  4  9 12
           1  2  5  7 12
           1  2  5  9 10
           1  2  6  7  9
           1  2  6  8 12
           1  2  6 10 11
           1  2  7  8 13
           1  2  9 11 13
           1  2 10 12 13
           1  3  4  5 10
           1  3  4  6  7
           1  3  4  7 12
           1  3  4  9 11
           1  3  4 11 13
           1  3  5  7 10
           1  3  5  8  9
           1  3  5 11 12
           1  3  6  7  8
           1  3  6 10 13
           1  3  6 11 12
           1  3  7  9 13
           1  3  8 10 11
           1  3  8 12 13
           1  3  9 10 12
           1  4  5  6 12
           1  4  5  7  9
           1  4  5  8 13
           1  4  6  7 11
           1  4  6  8 12
           1  4  6  9 10
           1  4  6  9 13
           1  4  6 12 13
           1  4  7  8 10
           1  4  7 10 13
           1  4 10 11 12
           1  5  6  7 13
           1  5  6  8 10
           1  5  6  9 11
           1  5  7  8 11
           1  5  8 10 12
           1  5  9 12 13
           1  5 10 11 13
           1  6  7 10 12
           1  6  8  9 12
           1  6  8 11 13
           1  7  8  9 12
           1  7  9 10 11
           1  7 11 12 13
           1  8  9 10 13
           1  8  9 11 12
           2  3  4  5 12
           2  3  4  6 11
           2  3  4  7 11
           2  3  4  8 13
           2  3  4  9 10
           2  3  5  7 10
           2  3  5  9 11
           2  3  5 10 13
           2  3  6  7 13
           2  3  6  8  9
           2  3  6  8 11
           2  3  6 10 12
           2  3  7  8 12
           2  3  7  9 12
           2  3  9 10 11
           2  3  9 12 13
           2  3 10 11 13
           2  4  5  6  8
           2  4  5  7  8
           2  4  5  9 13
           2  4  5 10 11
           2  4  6  7  9
           2  4  6  7 12
           2  4  6 10 13
           2  4  7 12 13
           2  4  8 10 12
           2  4  9 10 11
           2  4 11 12 13
           2  5  6  7 11
           2  5  6  9 10
           2  5  6 12 13
           2  5  7  9 12
           2  5  7 11 13
           2  5  8  9 12
           2  5  8 10 11
           2  5  8 10 13
           2  5 10 11 12
           2  6  7  8 10
           2  6  8  9 13
           2  6  9 11 12
           2  6 11 12 13
           2  7  8  9 11
           2  7  9 10 13
           2  7 10 11 12
           2  8  9 10 12
           2  8 11 12 13
           3  4  5  6  9
           3  4  5  7 13
           3  4  5  8 11
           3  4  5  8 12
           3  4  6  8 10
           3  4  6  9 12
           3  4  6 12 13
           3  4  7  8  9
           3  4  7 10 11
           3  4  9 10 13
           3  4 10 11 12
           3  5  6  7 11
           3  5  6  7 12
           3  5  6  8 13
           3  5  6 10 11
           3  5  7  8 10
           3  5  7  9 13
           3  5  9 10 12
           3  5 11 12 13
           3  6  7  9 10
           3  6  8 10 12
           3  6  9 11 13
           3  7  8 11 13
           3  7  9 11 12
           3  7 10 12 13
           3  8  9 10 13
           3  8  9 11 12
           4  5  6  7 10
           4  5  6 11 13
           4  5  7 11 12
           4  5  8  9 10
           4  5  9 11 12
           4  5 10 12 13
           4  6  7  8 13
           4  6  8  9 11
           4  6 10 11 12
           4  7  8 11 12
           4  7  9 10 12
           4  7  9 11 13
           4  8  9 12 13
           4  8 10 11 13
           5  6  7  8  9
           5  6  7  9 11
           5  6  8 11 12
           5  6  9 10 12
           5  6  9 10 13
           5  7  8 12 13
           5  7  9 10 11
           5  7 10 12 13
           5  8  9 11 13
           6  7  8 11 12
           6  7  9 12 13
           6  7 10 11 13
           6  8  9 10 11
           6  8 10 12 13
           7  8  9 10 13
           7  8 10 11 12
           9 10 11 12 13


            United States
            Member #12081
            March 4, 2005
            5 Posts
            Offline
            Posted: July 13, 2010, 2:12 pm - IP Logged

            According to the book Lotto Wheel Five To Win by Gail Howard, 13 numbers, 4 of 4 win would require 166 lines times 203 equals 33,698.

            This past weekend first prize paid $667,000.  I have mad worse wagers in Las Vegas and Laughlin. (Not to the extent of that amount).  Having an additional eleven risk takers I could accept. Approximately $3060 for a possible $40,000.  Not a bad wager.

            Robert

              RL-RANDOMLOGIC's avatar - usafce

              United States
              Member #59354
              March 13, 2008
              4088 Posts
              Offline
              Posted: July 13, 2010, 2:33 pm - IP Logged

              I received the following response with 203 lines required.

              In Coverage design your question would
              be converted to v=39, k=13, t=4 as C(39,13,4).

              The link to the lowest current guaranteed 4 numbers list is 203 and it
              was created by Jan de Heer and Steve Muir.

              Thoughts?

              Robert

              Robert

              I would be very much interested in the link, can you post it.  I made a search and could not find

              the 39-13-4. I would like to have that list.

              RL

              Working on my Ph.D.  "University of hard Knocks"

              I will consider the opinion that my winnings are a product of chance if you are willing to consider

              they are not.  Many great discoveries come while searching for something else

              USAF https://en.wikipedia.org/wiki/Prime_Base_Engineer_Emergency_Force

                US Flag Trump / 2016 & 2020  

                Avatar
                New Member
                Surprise, Arizona
                United States
                Member #94083
                July 13, 2010
                8 Posts
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                Posted: July 13, 2010, 3:18 pm - IP Logged

                Created by Jan de Heer and Steve Muir

                1 2 3 4 13 22 23 24 25 27 28 32 39

                1 2 3 5 9 14 15 17 21 29 35 38 39

                1 2 3 5 10 11 12 14 18 19 34 38 39

                1 2 3 6 8 17 25 28 29 30 33 34 36

                1 2 3 6 10 14 28 29 31 33 35 38 39

                1 2 3 7 13 16 23 24 25 28 31 32 35

                1 2 3 7 16 23 25 27 29 31 32 34 35

                1 2 3 8 12 14 18 29 35 36 37 38 39

                1 2 3 9 14 15 20 21 26 34 37 38 39

                1 2 3 11 14 19 20 26 29 30 35 38 39

                1 2 3 13 14 16 23 24 25 29 32 34 38

                1 2 4 5 10 16 20 21 23 24 29 31 37

                1 2 4 6 9 16 18 22 23 24 29 31 39

                1 2 4 7 14 22 23 24 25 28 32 34 38

                1 2 4 8 12 15 16 17 19 23 24 31 36

                1 2 4 11 16 23 24 26 30 31 33 35 38

                1 2 4 13 14 23 25 27 28 29 35 38 39

                1 2 4 14 16 22 24 25 27 28 29 31 34

                1 2 4 15 20 23 26 29 30 31 32 33 36

                1 2 5 6 8 10 15 17 18 20 26 29 35

                1 2 5 7 9 10 16 18 21 24 29 32 37

                1 2 5 7 10 11 12 13 18 21 22 28 29

                1 2 5 10 18 22 25 27 28 29 30 33 36

                1 2 6 7 8 9 17 21 22 25 27 28 37

                1 2 6 7 9 13 15 17 20 22 28 29 37

                1 2 6 8 9 13 17 21 25 27 28 29 37

                1 2 6 8 11 12 17 19 23 24 29 31 32

                1 2 6 9 11 12 19 21 29 30 33 36 37

                1 2 7 8 13 19 22 26 28 29 30 33 36

                1 2 7 11 12 13 15 19 20 25 26 27 29

                1 2 7 13 22 25 28 29 31 32 34 35 39

                1 3 4 5 7 9 12 14 15 17 22 31 36

                1 3 4 6 7 11 14 18 20 22 30 31 37

                1 3 4 7 8 10 14 19 21 22 26 31 33

                1 3 4 7 13 14 22 23 27 29 31 35 38

                1 3 4 7 13 16 22 23 27 28 34 35 39

                1 3 5 6 12 14 16 21 26 27 28 30 32

                1 3 5 8 12 13 14 20 23 24 25 33 37

                1 3 5 10 11 12 14 18 19 24 29 34 35

                1 3 6 9 10 13 14 15 19 23 24 25 30

                1 3 7 14 16 24 25 27 28 34 35 38 39

                1 3 8 9 11 14 15 16 18 27 28 32 33

                1 3 10 14 16 17 19 20 27 28 32 36 37

                1 3 11 13 14 17 18 21 23 24 25 26 36

                1 4 5 6 9 11 13 25 26 31 33 34 38

                1 4 5 8 9 19 20 27 28 30 31 35 39

                1 4 5 9 10 18 21 23 24 31 32 35 37

                1 4 6 8 11 12 16 17 19 23 29 31 32

                1 4 6 10 11 15 21 27 28 31 35 36 39

                1 4 8 13 15 18 19 25 31 34 36 37 38

                1 4 10 12 13 17 20 21 25 30 31 34 38

                1 4 12 17 18 26 27 28 31 33 35 37 39

                1 4 15 16 20 24 26 29 30 31 32 33 36

                1 5 6 7 19 22 23 24 26 35 36 37 39

                1 5 7 8 11 16 20 21 22 32 34 36 38

                1 5 7 10 13 18 22 25 27 28 30 33 36

                1 5 11 15 17 23 24 27 28 30 34 37 38

                1 5 13 15 16 17 19 21 25 32 33 35 39

                1 6 7 10 12 15 16 22 32 33 34 37 38

                1 6 8 11 12 13 14 17 19 22 28 38 39

                1 6 8 14 17 29 30 33 34 35 36 38 39

                1 6 9 12 13 16 18 20 25 32 35 36 39

                1 6 18 19 20 21 23 24 27 28 33 34 38

                1 7 8 12 15 18 21 22 23 24 30 35 39

                1 7 9 10 11 17 20 22 23 24 33 35 39

                1 7 9 16 17 18 19 22 26 30 32 34 38

                1 7 11 12 13 15 19 20 22 25 26 27 28

                1 8 9 10 12 23 24 26 27 28 34 36 38

                1 8 10 11 13 16 25 26 30 32 35 37 39

                1 9 14 15 17 20 21 26 29 34 35 37 38

                1 13 14 23 24 25 27 31 32 34 35 38 39

                2 3 4 5 15 17 19 21 22 23 27 33 38

                2 3 4 6 9 12 18 20 22 23 27 36 38

                2 3 4 7 22 24 25 29 32 34 35 38 39

                2 3 4 8 10 11 22 23 26 27 30 37 38

                2 3 4 11 14 16 22 23 25 31 34 35 39

                2 3 5 6 19 25 26 28 31 32 36 37 38

                2 3 5 7 8 9 13 16 19 20 24 30 38

                2 3 6 7 10 11 13 15 16 21 24 36 38

                2 3 6 8 14 17 30 33 34 35 36 38 39

                2 3 7 12 13 16 17 18 24 26 33 37 38

                2 3 7 13 14 16 22 27 28 29 32 38 39

                2 3 8 12 15 18 21 25 28 30 31 32 38

                2 3 9 10 11 17 20 25 28 31 32 33 38

                2 3 9 15 16 20 21 26 29 34 35 37 39

                2 4 5 6 7 12 13 21 23 26 30 34 39

                2 4 5 8 11 14 20 21 23 25 28 35 36

                2 4 5 9 10 16 18 21 23 29 31 32 37

                2 4 6 8 11 12 13 16 17 19 24 29 32

                2 4 6 10 12 14 15 23 25 28 33 35 37

                2 4 7 8 9 11 13 15 18 23 33 34 39

                2 4 7 10 13 17 19 20 23 34 36 37 39

                2 4 7 13 14 16 22 24 27 31 34 38 39

                2 4 9 14 17 18 19 23 25 26 28 30 35

                2 5 6 9 11 14 16 22 24 26 27 33 35

                2 5 7 10 13 18 24 25 27 29 30 33 36

                2 5 7 11 13 14 15 17 30 31 32 35 37

                2 5 8 12 20 22 27 31 32 33 34 37 39

                2 5 9 12 15 16 17 24 25 28 34 36 39

                2 5 10 11 12 13 18 19 29 34 35 38 39

                2 6 7 13 14 18 19 20 21 31 32 33 35

                2 6 9 10 15 19 22 27 30 31 32 34 39

                2 6 11 16 18 20 24 25 28 30 34 37 39

                2 7 8 9 10 12 13 14 26 31 32 35 36

                2 7 15 16 20 23 24 26 29 30 32 33 36

                2 8 10 16 19 21 24 25 26 28 33 34 39

                2 8 14 15 16 18 19 22 24 27 35 36 37

                2 10 11 12 15 19 20 22 25 26 27 28 29

                2 10 12 14 16 17 20 21 22 24 27 30 35

                2 11 17 18 21 22 26 27 31 32 34 36 39

                3 4 5 6 8 10 13 18 20 22 24 26 28

                3 4 5 6 8 15 17 20 22 24 32 34 35

                3 4 5 11 15 16 17 22 25 29 30 37 39

                3 4 6 10 13 17 18 20 24 26 28 32 34

                3 4 6 16 18 19 20 21 22 25 29 33 39

                3 4 8 9 10 12 16 22 25 26 29 36 39

                3 4 9 11 12 13 21 22 24 32 33 34 36

                3 4 9 11 12 19 21 22 28 30 32 35 37

                3 4 9 12 19 21 28 30 33 34 35 36 37

                3 4 10 13 15 18 20 22 24 26 28 32 35

                3 4 11 13 14 22 24 28 32 33 34 36 37

                3 4 11 13 19 22 24 30 32 33 34 35 36

                3 4 16 23 24 27 28 29 31 32 34 38 39

                3 5 6 7 9 11 23 26 28 29 32 33 39

                3 5 6 8 10 15 17 18 22 26 32 34 35

                3 5 6 8 13 15 17 20 22 28 32 34 35

                3 5 7 9 10 11 18 21 25 27 34 35 37

                3 5 8 11 13 20 21 24 27 29 31 36 39

                3 5 10 11 12 13 16 18 19 22 23 28 31

                3 5 10 16 18 23 28 30 31 33 34 35 36

                3 6 7 8 11 12 16 17 19 25 27 34 35

                3 6 8 9 16 17 21 23 30 31 34 35 37

                3 6 10 12 13 15 24 27 29 31 33 37 39

                3 7 8 15 18 19 23 28 29 32 36 37 39

                3 7 10 12 17 20 21 23 28 29 30 32 39

                3 7 10 15 20 25 26 27 30 33 34 35 36

                3 7 12 21 25 27 30 31 33 36 37 38 39

                3 9 12 13 19 21 22 24 28 30 32 35 37

                3 9 13 17 18 19 24 26 27 29 30 31 39

                3 11 12 13 15 16 19 20 23 26 31 34 35

                3 13 14 16 22 23 24 27 28 29 31 32 35

                4 5 6 8 10 13 15 17 18 24 26 28 35

                4 5 6 9 12 15 17 18 20 21 26 30 36

                4 5 6 13 14 16 19 26 27 29 34 36 37

                4 5 7 8 12 16 20 28 29 33 35 37 38

                4 5 7 10 11 12 18 19 23 24 25 27 32

                4 5 8 10 13 18 20 24 26 28 32 34 35

                4 5 10 14 18 24 29 30 32 33 36 38 39

                4 6 7 8 17 24 25 27 30 32 33 35 36

                4 6 7 9 10 15 16 19 28 29 30 35 38

                4 6 8 9 14 17 21 24 32 35 37 38 39

                4 7 9 15 20 21 24 25 26 27 31 32 37

                4 7 11 16 17 18 21 26 28 29 35 36 38

                4 7 13 14 16 22 25 27 28 31 32 35 38

                4 8 12 13 14 15 16 18 21 27 29 30 34

                4 9 10 11 13 14 16 17 20 27 29 33 34

                4 9 11 12 13 19 21 24 28 30 34 35 37

                4 10 13 15 17 18 20 22 24 26 28 34 38

                4 11 12 14 15 19 20 24 26 32 33 38 39

                5 6 7 8 10 14 15 16 18 23 26 27 31

                5 6 7 8 10 14 15 17 18 20 25 38 39

                5 6 7 8 10 16 17 20 23 25 27 38 39

                5 6 7 8 10 17 20 25 26 31 36 38 39

                5 6 8 9 12 17 18 19 21 26 30 33 36

                5 6 8 10 11 15 19 20 21 26 33 36 37

                5 6 9 10 11 12 17 18 21 26 30 36 37

                5 6 12 21 22 24 25 26 29 30 31 35 38

                5 7 14 15 17 19 21 24 28 29 31 33 34

                5 8 9 10 11 12 15 18 19 20 21 33 37

                5 8 9 14 19 20 22 23 25 29 30 32 34

                5 8 10 11 12 15 17 18 19 20 30 33 37

                5 8 14 15 16 18 23 25 26 27 31 38 39

                5 9 10 13 14 18 21 22 23 28 37 38 39

                5 9 12 13 15 17 23 27 29 32 35 36 38

                5 10 14 15 16 17 18 20 23 26 27 31 39

                6 7 8 9 13 14 17 21 22 25 27 29 37

                6 7 9 12 14 18 20 24 28 29 31 34 36

                6 7 14 15 16 17 18 23 26 27 31 38 39

                6 8 9 10 11 15 17 19 20 26 30 33 37

                6 8 10 11 12 15 18 19 20 26 33 36 37

                6 8 12 13 16 17 22 23 28 30 31 33 36

                6 8 14 15 16 17 18 20 23 25 26 27 31

                6 10 11 14 15 21 22 23 25 29 32 34 36

                6 11 13 18 20 23 27 29 30 32 35 37 38

                7 8 10 11 14 24 26 28 29 30 31 34 37

                7 9 11 12 14 16 19 21 23 25 30 33 36

                7 9 11 14 16 19 21 23 25 30 31 36 39

                7 9 11 14 16 19 23 25 27 30 36 37 38

                7 9 12 16 19 21 25 27 31 33 37 38 39

                7 10 14 15 16 18 20 23 25 26 27 31 38

                7 11 12 14 21 23 25 27 31 33 37 38 39

                8 9 10 11 15 17 19 20 21 30 33 36 37

                8 9 11 15 18 22 24 25 29 31 33 35 38

                8 10 13 19 21 23 26 27 29 32 33 35 38

                9 11 12 13 19 21 24 28 30 33 35 36 37

                9 11 12 14 16 19 23 27 30 33 36 38 39

                9 11 12 14 16 19 23 30 31 33 36 37 39

                9 11 14 16 19 21 23 27 30 31 36 37 38

                9 12 19 21 22 28 30 32 33 34 35 36 37

                9 13 15 16 20 21 22 23 26 28 31 37 38

                10 17 19 20 22 24 25 29 31 35 36 37 38

                12 14 17 18 22 23 25 26 29 32 33 34 37

                13 14 15 20 22 24 26 28 30 33 36 38 39

                  Jack-C's avatar - us
                  San Diego, CA
                  United States
                  Member #61467
                  May 24, 2008
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                  Offline
                  Posted: July 13, 2010, 11:07 pm - IP Logged

                  Created by Jan de Heer and Steve Muir

                  1 2 3 4 13 22 23 24 25 27 28 32 39

                  1 2 3 5 9 14 15 17 21 29 35 38 39

                  1 2 3 5 10 11 12 14 18 19 34 38 39

                  1 2 3 6 8 17 25 28 29 30 33 34 36

                  1 2 3 6 10 14 28 29 31 33 35 38 39

                  1 2 3 7 13 16 23 24 25 28 31 32 35

                  1 2 3 7 16 23 25 27 29 31 32 34 35

                  1 2 3 8 12 14 18 29 35 36 37 38 39

                  1 2 3 9 14 15 20 21 26 34 37 38 39

                  1 2 3 11 14 19 20 26 29 30 35 38 39

                  1 2 3 13 14 16 23 24 25 29 32 34 38

                  1 2 4 5 10 16 20 21 23 24 29 31 37

                  1 2 4 6 9 16 18 22 23 24 29 31 39

                  1 2 4 7 14 22 23 24 25 28 32 34 38

                  1 2 4 8 12 15 16 17 19 23 24 31 36

                  1 2 4 11 16 23 24 26 30 31 33 35 38

                  1 2 4 13 14 23 25 27 28 29 35 38 39

                  1 2 4 14 16 22 24 25 27 28 29 31 34

                  1 2 4 15 20 23 26 29 30 31 32 33 36

                  1 2 5 6 8 10 15 17 18 20 26 29 35

                  1 2 5 7 9 10 16 18 21 24 29 32 37

                  1 2 5 7 10 11 12 13 18 21 22 28 29

                  1 2 5 10 18 22 25 27 28 29 30 33 36

                  1 2 6 7 8 9 17 21 22 25 27 28 37

                  1 2 6 7 9 13 15 17 20 22 28 29 37

                  1 2 6 8 9 13 17 21 25 27 28 29 37

                  1 2 6 8 11 12 17 19 23 24 29 31 32

                  1 2 6 9 11 12 19 21 29 30 33 36 37

                  1 2 7 8 13 19 22 26 28 29 30 33 36

                  1 2 7 11 12 13 15 19 20 25 26 27 29

                  1 2 7 13 22 25 28 29 31 32 34 35 39

                  1 3 4 5 7 9 12 14 15 17 22 31 36

                  1 3 4 6 7 11 14 18 20 22 30 31 37

                  1 3 4 7 8 10 14 19 21 22 26 31 33

                  1 3 4 7 13 14 22 23 27 29 31 35 38

                  1 3 4 7 13 16 22 23 27 28 34 35 39

                  1 3 5 6 12 14 16 21 26 27 28 30 32

                  1 3 5 8 12 13 14 20 23 24 25 33 37

                  1 3 5 10 11 12 14 18 19 24 29 34 35

                  1 3 6 9 10 13 14 15 19 23 24 25 30

                  1 3 7 14 16 24 25 27 28 34 35 38 39

                  1 3 8 9 11 14 15 16 18 27 28 32 33

                  1 3 10 14 16 17 19 20 27 28 32 36 37

                  1 3 11 13 14 17 18 21 23 24 25 26 36

                  1 4 5 6 9 11 13 25 26 31 33 34 38

                  1 4 5 8 9 19 20 27 28 30 31 35 39

                  1 4 5 9 10 18 21 23 24 31 32 35 37

                  1 4 6 8 11 12 16 17 19 23 29 31 32

                  1 4 6 10 11 15 21 27 28 31 35 36 39

                  1 4 8 13 15 18 19 25 31 34 36 37 38

                  1 4 10 12 13 17 20 21 25 30 31 34 38

                  1 4 12 17 18 26 27 28 31 33 35 37 39

                  1 4 15 16 20 24 26 29 30 31 32 33 36

                  1 5 6 7 19 22 23 24 26 35 36 37 39

                  1 5 7 8 11 16 20 21 22 32 34 36 38

                  1 5 7 10 13 18 22 25 27 28 30 33 36

                  1 5 11 15 17 23 24 27 28 30 34 37 38

                  1 5 13 15 16 17 19 21 25 32 33 35 39

                  1 6 7 10 12 15 16 22 32 33 34 37 38

                  1 6 8 11 12 13 14 17 19 22 28 38 39

                  1 6 8 14 17 29 30 33 34 35 36 38 39

                  1 6 9 12 13 16 18 20 25 32 35 36 39

                  1 6 18 19 20 21 23 24 27 28 33 34 38

                  1 7 8 12 15 18 21 22 23 24 30 35 39

                  1 7 9 10 11 17 20 22 23 24 33 35 39

                  1 7 9 16 17 18 19 22 26 30 32 34 38

                  1 7 11 12 13 15 19 20 22 25 26 27 28

                  1 8 9 10 12 23 24 26 27 28 34 36 38

                  1 8 10 11 13 16 25 26 30 32 35 37 39

                  1 9 14 15 17 20 21 26 29 34 35 37 38

                  1 13 14 23 24 25 27 31 32 34 35 38 39

                  2 3 4 5 15 17 19 21 22 23 27 33 38

                  2 3 4 6 9 12 18 20 22 23 27 36 38

                  2 3 4 7 22 24 25 29 32 34 35 38 39

                  2 3 4 8 10 11 22 23 26 27 30 37 38

                  2 3 4 11 14 16 22 23 25 31 34 35 39

                  2 3 5 6 19 25 26 28 31 32 36 37 38

                  2 3 5 7 8 9 13 16 19 20 24 30 38

                  2 3 6 7 10 11 13 15 16 21 24 36 38

                  2 3 6 8 14 17 30 33 34 35 36 38 39

                  2 3 7 12 13 16 17 18 24 26 33 37 38

                  2 3 7 13 14 16 22 27 28 29 32 38 39

                  2 3 8 12 15 18 21 25 28 30 31 32 38

                  2 3 9 10 11 17 20 25 28 31 32 33 38

                  2 3 9 15 16 20 21 26 29 34 35 37 39

                  2 4 5 6 7 12 13 21 23 26 30 34 39

                  2 4 5 8 11 14 20 21 23 25 28 35 36

                  2 4 5 9 10 16 18 21 23 29 31 32 37

                  2 4 6 8 11 12 13 16 17 19 24 29 32

                  2 4 6 10 12 14 15 23 25 28 33 35 37

                  2 4 7 8 9 11 13 15 18 23 33 34 39

                  2 4 7 10 13 17 19 20 23 34 36 37 39

                  2 4 7 13 14 16 22 24 27 31 34 38 39

                  2 4 9 14 17 18 19 23 25 26 28 30 35

                  2 5 6 9 11 14 16 22 24 26 27 33 35

                  2 5 7 10 13 18 24 25 27 29 30 33 36

                  2 5 7 11 13 14 15 17 30 31 32 35 37

                  2 5 8 12 20 22 27 31 32 33 34 37 39

                  2 5 9 12 15 16 17 24 25 28 34 36 39

                  2 5 10 11 12 13 18 19 29 34 35 38 39

                  2 6 7 13 14 18 19 20 21 31 32 33 35

                  2 6 9 10 15 19 22 27 30 31 32 34 39

                  2 6 11 16 18 20 24 25 28 30 34 37 39

                  2 7 8 9 10 12 13 14 26 31 32 35 36

                  2 7 15 16 20 23 24 26 29 30 32 33 36

                  2 8 10 16 19 21 24 25 26 28 33 34 39

                  2 8 14 15 16 18 19 22 24 27 35 36 37

                  2 10 11 12 15 19 20 22 25 26 27 28 29

                  2 10 12 14 16 17 20 21 22 24 27 30 35

                  2 11 17 18 21 22 26 27 31 32 34 36 39

                  3 4 5 6 8 10 13 18 20 22 24 26 28

                  3 4 5 6 8 15 17 20 22 24 32 34 35

                  3 4 5 11 15 16 17 22 25 29 30 37 39

                  3 4 6 10 13 17 18 20 24 26 28 32 34

                  3 4 6 16 18 19 20 21 22 25 29 33 39

                  3 4 8 9 10 12 16 22 25 26 29 36 39

                  3 4 9 11 12 13 21 22 24 32 33 34 36

                  3 4 9 11 12 19 21 22 28 30 32 35 37

                  3 4 9 12 19 21 28 30 33 34 35 36 37

                  3 4 10 13 15 18 20 22 24 26 28 32 35

                  3 4 11 13 14 22 24 28 32 33 34 36 37

                  3 4 11 13 19 22 24 30 32 33 34 35 36

                  3 4 16 23 24 27 28 29 31 32 34 38 39

                  3 5 6 7 9 11 23 26 28 29 32 33 39

                  3 5 6 8 10 15 17 18 22 26 32 34 35

                  3 5 6 8 13 15 17 20 22 28 32 34 35

                  3 5 7 9 10 11 18 21 25 27 34 35 37

                  3 5 8 11 13 20 21 24 27 29 31 36 39

                  3 5 10 11 12 13 16 18 19 22 23 28 31

                  3 5 10 16 18 23 28 30 31 33 34 35 36

                  3 6 7 8 11 12 16 17 19 25 27 34 35

                  3 6 8 9 16 17 21 23 30 31 34 35 37

                  3 6 10 12 13 15 24 27 29 31 33 37 39

                  3 7 8 15 18 19 23 28 29 32 36 37 39

                  3 7 10 12 17 20 21 23 28 29 30 32 39

                  3 7 10 15 20 25 26 27 30 33 34 35 36

                  3 7 12 21 25 27 30 31 33 36 37 38 39

                  3 9 12 13 19 21 22 24 28 30 32 35 37

                  3 9 13 17 18 19 24 26 27 29 30 31 39

                  3 11 12 13 15 16 19 20 23 26 31 34 35

                  3 13 14 16 22 23 24 27 28 29 31 32 35

                  4 5 6 8 10 13 15 17 18 24 26 28 35

                  4 5 6 9 12 15 17 18 20 21 26 30 36

                  4 5 6 13 14 16 19 26 27 29 34 36 37

                  4 5 7 8 12 16 20 28 29 33 35 37 38

                  4 5 7 10 11 12 18 19 23 24 25 27 32

                  4 5 8 10 13 18 20 24 26 28 32 34 35

                  4 5 10 14 18 24 29 30 32 33 36 38 39

                  4 6 7 8 17 24 25 27 30 32 33 35 36

                  4 6 7 9 10 15 16 19 28 29 30 35 38

                  4 6 8 9 14 17 21 24 32 35 37 38 39

                  4 7 9 15 20 21 24 25 26 27 31 32 37

                  4 7 11 16 17 18 21 26 28 29 35 36 38

                  4 7 13 14 16 22 25 27 28 31 32 35 38

                  4 8 12 13 14 15 16 18 21 27 29 30 34

                  4 9 10 11 13 14 16 17 20 27 29 33 34

                  4 9 11 12 13 19 21 24 28 30 34 35 37

                  4 10 13 15 17 18 20 22 24 26 28 34 38

                  4 11 12 14 15 19 20 24 26 32 33 38 39

                  5 6 7 8 10 14 15 16 18 23 26 27 31

                  5 6 7 8 10 14 15 17 18 20 25 38 39

                  5 6 7 8 10 16 17 20 23 25 27 38 39

                  5 6 7 8 10 17 20 25 26 31 36 38 39

                  5 6 8 9 12 17 18 19 21 26 30 33 36

                  5 6 8 10 11 15 19 20 21 26 33 36 37

                  5 6 9 10 11 12 17 18 21 26 30 36 37

                  5 6 12 21 22 24 25 26 29 30 31 35 38

                  5 7 14 15 17 19 21 24 28 29 31 33 34

                  5 8 9 10 11 12 15 18 19 20 21 33 37

                  5 8 9 14 19 20 22 23 25 29 30 32 34

                  5 8 10 11 12 15 17 18 19 20 30 33 37

                  5 8 14 15 16 18 23 25 26 27 31 38 39

                  5 9 10 13 14 18 21 22 23 28 37 38 39

                  5 9 12 13 15 17 23 27 29 32 35 36 38

                  5 10 14 15 16 17 18 20 23 26 27 31 39

                  6 7 8 9 13 14 17 21 22 25 27 29 37

                  6 7 9 12 14 18 20 24 28 29 31 34 36

                  6 7 14 15 16 17 18 23 26 27 31 38 39

                  6 8 9 10 11 15 17 19 20 26 30 33 37

                  6 8 10 11 12 15 18 19 20 26 33 36 37

                  6 8 12 13 16 17 22 23 28 30 31 33 36

                  6 8 14 15 16 17 18 20 23 25 26 27 31

                  6 10 11 14 15 21 22 23 25 29 32 34 36

                  6 11 13 18 20 23 27 29 30 32 35 37 38

                  7 8 10 11 14 24 26 28 29 30 31 34 37

                  7 9 11 12 14 16 19 21 23 25 30 33 36

                  7 9 11 14 16 19 21 23 25 30 31 36 39

                  7 9 11 14 16 19 23 25 27 30 36 37 38

                  7 9 12 16 19 21 25 27 31 33 37 38 39

                  7 10 14 15 16 18 20 23 25 26 27 31 38

                  7 11 12 14 21 23 25 27 31 33 37 38 39

                  8 9 10 11 15 17 19 20 21 30 33 36 37

                  8 9 11 15 18 22 24 25 29 31 33 35 38

                  8 10 13 19 21 23 26 27 29 32 33 35 38

                  9 11 12 13 19 21 24 28 30 33 35 36 37

                  9 11 12 14 16 19 23 27 30 33 36 38 39

                  9 11 12 14 16 19 23 30 31 33 36 37 39

                  9 11 14 16 19 21 23 27 30 31 36 37 38

                  9 12 19 21 22 28 30 32 33 34 35 36 37

                  9 13 15 16 20 21 22 23 26 28 31 37 38

                  10 17 19 20 22 24 25 29 31 35 36 37 38

                  12 14 17 18 22 23 25 26 29 32 33 34 37

                  13 14 15 20 22 24 26 28 30 33 36 38 39

                  That's a strange looking Pick 5.

                    Avatar
                    Gent
                    Belgium
                    Member #73987
                    April 30, 2009
                    33 Posts
                    Offline
                    Posted: July 14, 2010, 3:09 am - IP Logged

                    That's a strange looking Pick 5.

                    I actually think Robersabel2 got it right. The TS specifically asked: how many lines of 13 numbers would guarantee 4.


                      Avatar
                      New Member
                      Surprise, Arizona
                      United States
                      Member #94083
                      July 13, 2010
                      8 Posts
                      Offline
                      Posted: July 14, 2010, 12:23 pm - IP Logged

                      Thanks for the confirmation.  Obviously, to play Pick 5, wheel each line of 13 numbers 166 times.  Guaranteed at least one four, and found one line that would yield 8 four's not taking in account multitude of three's and two's.

                      Not finished with researching method.

                      Robert

                        Avatar
                        New Member
                        Surprise, Arizona
                        United States
                        Member #94083
                        July 13, 2010
                        8 Posts
                        Offline
                        Posted: July 14, 2010, 1:01 pm - IP Logged

                        Correction on previous...and found previous results would have yielded if not one five, at least one four, and at the most 8 four's not taking in account multitude of three's and two's. (Referring to 203 lines listed).

                        Robert

                          RL-RANDOMLOGIC's avatar - usafce

                          United States
                          Member #59354
                          March 13, 2008
                          4088 Posts
                          Offline
                          Posted: July 14, 2010, 2:42 pm - IP Logged

                          Correction on previous...and found previous results would have yielded if not one five, at least one four, and at the most 8 four's not taking in account multitude of three's and two's. (Referring to 203 lines listed).

                          Robert

                          Robert

                          Consider this. Many of the lines would contain the same 4 numbers.  The odds for a 4 of 5 win in a 

                          5-39 game are 3387 to 1.   If there are at least 10 lines that contain that contain a certin set of 4

                          numbers then would not the odds of choosing a line of 13 be 1 in 20.3 for a 4 of 5 win with only 166 sets.

                          I built a program years ago to use this type of system but did not have the list and gave up on building

                          one.  I think this has very good things that could be done with it.  I am shifting gears and going back

                          to this method to see what I can do with it.  I can filter 166 sets down to 5 to 10 very easy.  And if the

                          set selected had all 5 numbers within it, BAMMM!  Do you know if the list is copyrighted or restricted in

                          in way.

                          RL

                          Working on my Ph.D.  "University of hard Knocks"

                          I will consider the opinion that my winnings are a product of chance if you are willing to consider

                          they are not.  Many great discoveries come while searching for something else

                          USAF https://en.wikipedia.org/wiki/Prime_Base_Engineer_Emergency_Force

                            US Flag Trump / 2016 & 2020  

                            FloridaGirl's avatar - Lottery-025.jpg
                            Ft lauderdale , florida
                            United States
                            Member #4606
                            May 7, 2004
                            220 Posts
                            Offline
                            Posted: July 14, 2010, 3:10 pm - IP Logged

                            I have won   few times 4 numbers  in fantasy 5.
                            4 numbers  often paid less than $100.

                            I also have won 3 numbers on fantasy 5  paying   as much as $24.50 for 3 numbers.
                            i  was buying $20 everyday  for three months ................and did not make it on the win of  5 numbers .
                            Few days i even put $40  and did not do any better .

                            I often had all the numbers chosen but they were not on the same winning line.
                            If you don't have all the numbers choosen ............you might get several three winning numbers  but not 4.
                            I believe the garanty of 4 .............if you have choosen all the right 13 numbers .
                            I stop playing the fantasy 5.

                            So right now i am back to cash 3.

                              FloridaGirl's avatar - Lottery-025.jpg
                              Ft lauderdale , florida
                              United States
                              Member #4606
                              May 7, 2004
                              220 Posts
                              Offline
                              Posted: July 14, 2010, 3:26 pm - IP Logged

                              By the Way
                              Florida has only  36 numbers ........should have been easier than 39  and still  did not make  it  to the win of the Jackpot .

                              Eveyone of us has a dream of thinking that we can beat the odd.............but i think we need a little bit of luck with that.

                              There is nothing wrong about having that dream............that's  what keep us going ..........I do hope  you get  reward  on your  effort and luck for the Jackpot.