Texas Hold'em Poker Hand Probabilities - 1 views
I have searched around the net and some of the poker books that i have read for some good statistics on probabilities of hitting some big hands. Although it is all mathematics to most, it is this very jargon that can separate the losers from the winners.
Flush Probabilities
| Probability of being dealt suited cards | 23.5% |
| Probability of flopping a flush when holding two suited cards | 0.8% |
| Probability of flopping a flush draw when holding two suited cards | 10.9% |
| Probability of hitting a flush draw (both turn/river, needing one card to hit) | 35% |
Straight Probabilities
| Probability of hitting an open-ended straight draw (i.e. 4 straight cards, need one on either end to hit on turn or river) | 31.5% |
| Probability of hitting a gutshot draw (inside straight draw) on turn or river | 16.5% |
Pocket Pair Probabilities
| Probability of being dealt a pocket pair | 5.9% |
| Probability of hitting a three of a kind or quads at the flop when you hold a pocket pair | 11.8% |
| Probability of being dealt AA | 0.45% |
Unpaired Hole Cards Probabilities
| Probability of making a pair with one of your hole cards (example: hitting an ace or a king if you hold AK) | 32.4% |
| Probability of hitting two pair on the flop with each of your hole cards (example: hitting both an ace and a king on the flop, when holding AK) | 2% |
Ace Probabilities
| Probability that at least one of your hole cards is an ace | 14.9% |
Probability of no one holding an ace, assuming you do not have an ace. Note: this can be used for any card (because the chances of you being dealt an ace or a king is exactly the same).
| # Players | Probability |
|---|---|
| 2 | 84.5% |
| 3 | 70.9% |
| 4 | 59% |
| 5 | 48.6% |
| 6 | 39.7% |
| 7 | 32.1% |
| 8 | 25.6% |
| 9 | 20.1% |
| 10 | 15.6% |
Probability someone else does not have an ace, assuming you do have an ace, by total number of players:
| # Players | Probability |
|---|---|
| 2 | 88.2% |
| 3 | 77.5% |
| 4 | 67.6% |
| 5 | 58.6% |
| 6 | 50.4% |
| 7 | 43% |
| 8 | 36.4% |
| 9 | 30.5% |
| 10 | 25.3% |
