Sep 09
Numbers are pretty dry for most of us – except for some rare mathematics nerds – but a showing a few of them might help when facing a bad run of "unplayable" pocket cards.
A poker deck usually has 52 cards (2, 3, 4, 5, 6, 7, 8, 9, T, J, Q, K, A with 4 colours each).
Dealt two cards there are 1326 (52*51/2) combinations.
| Combinations | No | Odds (rnd) | % (rnd) |
| 13 pairs * 6 | 78 | 1 in 17 | 6% |
| 13 directly suited connectors * 4 | 52 | 1 in 25.5 | 4% |
| 10 "one gap" suited connectors * 4 | 40 | 1 in 33 | 3% |
| 13 directly unsuited connectors * 12 | 156 | 1 in 8.5 | 12% |
| 12 "one gap" unsuited connectors * 12 | 144 | 1 in 9 | 11% |
| Combinations | No | Odds (rnd) | % (rnd) |
| AA | 6 | 1 in 221 | 0.45% |
| AKs | 4 | 1 in 332 | 0.30% |
| AKo | 12 | 1 in 110.5 | 0.90% |
| AX or Ax | 198 | 1 in 6.7 | 14.93% |
| AA-TT or AK, AQ | 62 | 1 in 21 | 4.67% |
| Combinations | Odds (rnd) | % (rnd) |
| AK hits on the flop | 1 in 4.25 | 24% |
| A pair flops a set | 1 in 8.5 | 12% |
| Two suits flop at least two suits | 1 in 8.5 | 12% |
| Two pair after flop make FH or better | 1 in 6 | 17% |
| A set after flop makes FH or better | 1 in 3 | 33% |
| Combinations |
Odds Turn
|
% T (rnd) | % T and R (rnd) |
| Open end straight draw | 8 in 47 | 17% | 31% |
| Flush draw | 9 in 47 | 19% | 35% |
| Open end straight flush draw* | 15 in 47 | 32% | 54% |
