Poker Probabilities
Here are some basic probabilities that you should know:
| 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% |
| 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% |
| 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% |
| 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% |
| 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% |
