Poker Probabilities

Here are some basic probabilities that you should know:

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%