Distribution in 3 hidden hands
Column a: The number of cards in a suit in your own hand
Column b: The distribution of that suit for the remaining 3 hands
Column c: The probability of that distribution
Holding 0 spades the probability that the remaining spades are 6-4-3 = 25.921%
| a | b | c |
| 0 | 6-4-3 | 25.921 |
| 5-4-4 | 24.301 |
| 5-5-3 | 17.479 |
| 6-5-2 | 12.725 |
| 7-4-2 | 7.069 |
| 7-3-3 | 5.184 |
| 8-3-2 | 2.121 |
| 7-5-1 | 2.121 |
| 6-6-1 | 1.414 |
| 8-4-1 | 0.884 |
| a | b | c |
| 1 | 5-4-3 | 40.377 |
| 6-4-2 | 14.683 |
| 6-3-3 | 10.767 |
| 5-5-2 | 9.911 |
| 4-4-4 | 9.347 |
| 7-3-2 | 5.873 |
| 6-5-1 | 4.405 |
| 7-4-1 | 2.447 |
| 8-3-1 | 0.734 |
| 8-2-2 | 0.601 |
| a | b | c |
| 2 | 4-4-3 | 26.170 |
| 5-4-2 | 25.695 |
| 5-3-3 | 18.843 |
| 6-3-2 | 13.704 |
| 6-4-1 | 5.710 |
| 5-5-1 | 3.854 |
| 7-3-1 | 2.284 |
| 7-2-2 | 1.869 |
| 6-5-0 | 0.791 |
| a | b | c |
| 3 | 4-3-3 | 27.598 |
| 5-3-2 | 27.096 |
| 4-4-2 | 18.817 |
| 5-4-1 | 11.290 |
| 6-3-1 | 6.021 |
| 6-2-2 | 4.927 |
| 7-2-1 | 1.642 |
| 6-4-0 | 1.158 |
| 5-5-0 | 0.782 |
| a | b | c |
| 4 | 4-3-2 | 45.160 |
| 5-3-1 | 13.548 |
| 5-2-2 | 11.085 |
| 3-3-3 | 11.039 |
| 4-4-1 | 9.408 |
| 6-2-1 | 4.927 |
| 5-4-0 | 2.605 |
| 6-3-0 | 1.390 |
| a | b | c |
| 5 | 3-3-2 | 31.110 |
| 4-3-1 | 25.925 |
| 4-2-2 | 21.212 |
| 5-2-1 | 12.727 |
| 5-3-0 | 3.590 |
| 4-4-0 | 2.493 |
| 6-1-1 | 1.414 |
| 6-2-0 | 1.305 |
| a | b | c |
| 6 | 3-2-2 | 33.939 |
| 4-2-1 | 28.282 |
| 3-3-1 | 20.740 |
| 4-3-0 | 7.977 |
| 5-1-1 | 4.242 |
| 5-2-0 | 3.916 |
| 6-1-0 | 0.870 |
| a | b | c |
| 7 | 3-2-1 | 53.333 |
| 2-2-2 | 14.545 |
| 4-1-1 | 11.111 |
| 4-2-0 | 10.256 |
| 3-3-0 | 7.521 |
| 5-1-0 | 3.077 |
| a | b | c |
| 8 | 2-2-1 | 41.211 |
| 3-1-1 | 25.185 |
| 3-2-0 | 23.247 |
| 4-1-0 | 9.686 |
| 5-0-0 | 0.671 |
| a | b | c |
| 9 | 2-1-1 | 48.080 |
| 3-1-0 | 27.121 |
| 2-2-0 | 22.191 |
| 4-0-0 | 2.608 |
| a | b | c |
| 10 | 2-1-0 | 66.572 |
| 1-1-1 | 24.040 |
| 3-0-0 | 9.388 |
| a | b | c |
| 11 | 1-1-0 | 68.421 |
| 2-0-0 | 31.579 |
Source:
The official encyclopedia of bridge
Memphis Tennessee
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