Poker Odds Calculator
This poker odds calculator turns the number of outs you hold into your real chance of hitting by the river, then compares it with the pot odds on offer so you know whether a call makes money in the long run. It is built around Texas hold'em drawing maths: after the flop you have seen five cards, leaving 47 unseen, and after the turn 46, and your equity is the chance that at least one of the remaining community cards is one of your outs. Enter your outs, pick whether you are on the flop or the turn, then add the pot size and the bet you are facing. The calculator returns your exact hitting percentage, the familiar rule of 4 and 2 estimate, the odds against you, and the minimum equity the pot odds demand, finishing with a plain call-or-fold verdict. A flush draw carries 9 outs, an open-ended straight draw 8, a gutshot 4, and a pair hoping to trip up 2, so you can test any spot you faced last night. Home game players and online grinders use it between sessions to sharpen the maths they need at speed, because the difference between a profitable call and a leak is usually just this comparison done honestly.
Calling $20 into a $100 pot needs 16.7% equity and your draw has 35.0%, so the call is profitable in the long run.
Assumes every out gives you the winning hand and that you see the remaining cards without further betting. Discount dirty outs (cards that also improve your opponent) and remember implied odds can justify a call the raw numbers reject.
How it works
After the flop, 47 cards are unseen from your point of view: 52 minus your 2 hole cards and the 3 board cards. The chance you miss with both remaining cards is the chance the turn misses, (47 - outs) / 47, multiplied by the chance the river also misses, (46 - outs) / 46, and your equity is 1 minus that product. After the turn only one card comes, so equity is simply outs / 46. The odds-against figure is the miss probability divided by the hit probability. On the other side of the comparison, pot odds convert the price of the call into a required equity: the call amount divided by the pot after your call. If your hitting chance beats the required equity, calling wins money on average; if it falls short, folding saves money unless implied odds (extra bets you will win when you hit) close the gap. The rule of 4 and 2 is shown as a cross-check: outs times 4 on the flop, outs times 2 on the turn.
Worked example
You flop a flush draw, giving you 9 outs, and face a $20 bet that has built the pot to $100. Exact equity: the turn misses (47 - 9) / 47 = 38/47 of the time and the river then misses 37/46 of the time, so you miss both with probability (38 x 37) / (47 x 46) = 0.650, meaning you hit about 35.0% of the time, odds of roughly 1.9 to 1 against. The rule of 4 says 9 x 4 = 36%, nicely close. The call costs $20 to win a $120 pot after your chips go in, so you need 20 / 120 = 16.7% equity. Since 35.0% is comfortably above 16.7%, calling is clearly profitable; you would need the draw to hit less than one time in six for folding to be right.
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