Some important stats from my poker simulator; 500,000 rounds of Texas Holdem ran 3 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 | 17.4061 | 1.96798 |
| Pair | 43.8425 | 29.9811 |
| Two Pair | 23.5049 | 33.9322 |
| Set | 4.82175 | 9.24258 |
| Straight | 4.613 | 10.7805 |
| Flush | 3.02543 | 7.04364 |
| Full House | 2.59493 | 6.52778 |
| Quads | 0.16812 | 0.45582 |
| Straight Flush | 0.0207533 | 0.0612 |
| Royal Flush | 0.00244667 | 0.00724 |
The above stats are very interesting and should be memorized but they can be a little
misleading. For example only 87% of the hands are won by a flush, but that does not means if there is 3 flush cards on the board that only 7% 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 | 19.5401 |
| Straight when 3 continuous on board | 14.3821 |
| Straight when 4 continuous on board | 17.2001 |
| Flush when 3 suited on board | 24.4504 |
| Flush when 4 suited on board | 112.093 |
| Full House when pair on board | 8.41623 |
| Full House when set on board | 100.658 |
| Full House when 2 pair on board | 49.8581 |
| Quads when pair on board | 0.328722 |
| Quads when set on board | 12.7385 |
Given the above example you can see that in a 3 handed Texas Holdem game if there is 3 suited cards on the board then it is not 7% chance that someone has a flush but a much higher 24%.
Hope these stats help you guys crush the short handed poker tables.
Click here for next stats on 4 Handed
Click here for previous stats on heads up
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Darkened Poker
Tags: Poker, Texas Holdem