Poker Probabilities

Here are some basic probabilities that you should know:

Flush Probabilities
Probability of being dealt suited cards23.5%
Probability of flopping a flush when holding two suited cards0.8%
Probability of flopping a flush draw when holding two suited cards10.9%
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 river16.5%

Pocket Pair Probabilities
Probability of being dealt a pocket pair5.9%
Probability of hitting a three of a kind or quads at the flop when you hold a pocket pair11.8%
Probability of being dealt AA0.45%

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 ace14.9%

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).

# PlayersProbability
284.5%
370.9%
459%
548.6%
639.7%
732.1%
825.6%
920.1%
1015.6%

Probability someone else does not have an ace, assuming you do have an ace, by total number of players:

# PlayersProbability
288.2%
377.5%
467.6%
558.6%
650.4%
743%
836.4%
930.5%
1025.3%

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