Some important stats from my poker simulator; 500,000 rounds of Texas Holdem ran 7 handed all the way to the river. This chart gives you a good idea of the frequency of each rank of hand coming up and its % chance to be winning at show down.
| Hand type | % of hands | % of rounds won |
|---|---|---|
| High | 17.4097 | 0.01446 |
| Pair | 43.8459 | 13.3996 |
| Two Pair | 23.4786 | 28.4731 |
| Set | 4.82599 | 15.0132 |
| Straight | 4.62155 | 17.9528 |
| Flush | 3.03254 | 11.8337 |
| Full House | 2.59512 | 12.1297 |
| Quads | 0.167151 | 1.0265 |
| Straight Flush | 0.02097 | 0.13984 |
| Royal Flush | 0.00252 | 0.01708 |
The above stats are very interesting and should be memorized but they can be a little misleading. For example only 11% of the hands are won by a flush, but that does not means if there is 3 flush cards on the board that only 11% of the time someone will have one. A poker player really also wants to know that given that the condition for a flush is meet what is the chance that someone at the table has that hand.
| Hand given the Condition | % Hand |
|---|---|
| Set when pair on board | 45.559 |
| Straight when three continuous on board | 33.6358 |
| Straight when four continuous on board | 40.2298 |
| Flush when three suited on board | 57.2209 |
| Flush when four suited on board | 262.452 |
| Full House when pair on board | 19.7023 |
| Full House when set on board | 233.955 |
| Full House when two pair on board | 115.903 |
| Quads when pair on board | 0.744857 |
| Quads when set on board | 29.8557 |
Given the above example you can see that in a 7 handed Texas Holdem game if there is 3 suited cards on the board then it is not 11% chance that someone has a flush but a much higher 57%.
Hope these stats help you guys kill the poker tables.
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Darkened Poker
Tags: Poker, Texas Holdem



December 25th, 2009 at 6:10 pm
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December 25th, 2009 at 6:35 pm
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