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Poker Probabilities

The exact odds of being dealt every key starting hand and of hitting sets, flushes and draws, plus how often someone at your table has it.

Changes the "anyone at the table" column
Starting hands: how often are you dealt…
HandYou1 inAnyone at the table
Hitting the board
SituationChanceOdds against
"You" and "Hitting the board" figures are exact. "Anyone at the table" is calculated from 200,000 simulated deals each time you change the number of players.

Odds of being dealt each starting hand

There are 1,326 possible two-card starting hands. Pocket aces can be dealt 6 ways, so you get them once every 221 hands on average (0.45%). Any pocket pair comes 78 ways out of 1,326: once every 17 hands (5.9%). Ace-king comes 16 ways (1.2%), and ace-king suited only 4 (0.30%, once every 332 hands).

At a table, the chance that someone has pocket aces rises with the number of players: 2.71% at 6 players and 4.06% at 9 players. Change the number of players in the tool above to see every starting hand.

Odds of hitting the board

SituationChanceOdds against
Pocket pair flops a set or better11.8%7.5 : 1
Pocket pair makes a set or better by the river19.2%4.2 : 1
Unpaired hand pairs a hole card on the flop32.4%2.1 : 1
Suited hand flops a flush0.8%117.8 : 1
Suited hand flops a flush draw10.9%8.1 : 1
Suited hand makes a flush by the river6.4%14.6 : 1
Flush draw on the flop hits by the river35.0%1.9 : 1
Open-ended straight draw hits by the river31.5%2.2 : 1
Gutshot hits by the river16.5%5.1 : 1

Why set mining works

A pocket pair flops a set or better about 11.8% of the time, or 7.5 to 1 against. That is why players call raises with small pairs when stacks are deep: if they win a big pot the 1 time in 8.5 they hit, calling pays off. As a rule of thumb, you want the stacks to be at least 15 to 20 times the amount you have to call.

Hitting your draw

With a flush draw on the flop you have 9 outs: 35% to hit by the river if you see both cards, but only 19.1% to hit on the turn alone. Count your outs and compare against your pot odds with the outs chart and the pot odds calculator.

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