Hand Distributions

Distribution           Frequency

    4-4-3-2                 21.55 %

    4-3-3-3                 10.54 %

    4-4-4-1                   2.99 %

    5-3-3-2                 15.52 %

    5-4-3-1                 12.93 %

    5-4-2-2                 10.58 %

    5-5-2-1                   1.15 %

    5-4-4-0                   1.34 %

    5-5-4-0                     .90 %

    6-3-2-2                   5.64 %

    6-4-2-1                   4.70 %

    6-3-3-1                   3.45 %

    6-4-3-0                   1.33 %

    6-5-1-1                     .71 %

    6-5-2-0                     .65 %

    6-6-1-0                     .07 %

    7-3-2-1                    1.88 %

    7-2-2-2                      .51 %

    7-4-1-1                      .39 %

    7-4-2-0                      .36 %

    7-3-3-0                      .27 %

    7-5-1-0                      .11 %

    7-6-0-0                      .01 %

    8-2-2-1                      .19 %

    8-3-1-1                      .12 %

    8-3-2-0                      .11 %

    8-4-1-0                      .05 %

    8-5-0-0                      .003 %

    9-2-1-1                      .02 %

    9-3-1-0                      .01 %

    9-2-2-2                      .01 %

    9-4-0-0                      .001 %

  10-2-1-0                      .01

  10-3-0-0                      .0002 %

  11-1-1-0                      .0002 %

  11-2-0-0                      .00002 %

  12-1-0-0                      .0000003 %

  13-0-0-0                      .0000000006 %

Suit Distributions

These probabilities are affected by the distribution of other suits.  The numbers below are calculated when you don't know the distribution of other suits in the hand.

We Hold         Breaks          Frequency       (All)

12 Cards           0-1                50.00 %   (100.00)

                          1-0                 50.00 %

11 Cards          0-2                24.00 %    (  48.00)

                          1-1                52.00 %    (  52.00)

                          2-0                24.00 %

10 Cards           0-3                11.00 %    (  22.00)

                           1-2                39.00 %    (  78.00)

                           2-1                39.00 %

                           3-0                11.00 %

  9 Cards            0-4                   4.78 %   (    9.56)

                           1-3                 24.87 %   (  49.74)

                           2-2                 40.70 %   (  40.70)

                           3-1                 24.87 %

                           4-0                   4.78 %

  8 Cards            0-5                   1.97 %    (    3.94)

                           1-4                 14.13 %    (  28.26)

                           2-3                 33.91 %    (  67.82)

                           3-2                 33.91 %

                           4-1                 14.13 %

                           5-0                   1.97 %

7 Cards              0-6                      .75 %    (    1.50)

                           1-5                    7.27 %    (  14.54)

                           2-4                  24.22 %    (  48.44) 

                           3-3                  35.53 %    (  35.53)

                           4-2                  24.22 %

                           1-5                    7.27 %

                           6-0                      .75 %

  6 Cards            0-7                      .26 %    (      .52)

                           1-6                    3.39 %    (    6.78)

                           2-5                   15.26 %   (  30.52)

                           3-4                   31.09 %   (  62.18)

                           4-3                   31.09 %

                           5-2                   15.26 %

                           6-1                     3.39 %

                           7-0                       .26 %

Compiled by Lorne Russell 2005