Poker pot odds calculator
A call is profitable when your chance of winning beats the pot odds. Everything else at the table is psychology.
Your equity
34.968%
- Equity you need to break even
- 25.000 %
- Edge
- 9.968 %
- The call is profitable
- 1
- Expected value of calling
- 15.95
- Largest call that stays profitable
- 64.52
- The rule of 4 and 2 estimate
- 36 %
- Pot odds as a ratio
- 3.000
Show the working
- Pot before your call = 120
- Amount to call = 40
- Outs = 9
- Cards to come = 2
- Unseen cards = 47
- Equity you need to break even = (120 + 40) > 0 ? 40 / (120 + 40) * 100 : 0 = 25
- Pot odds as a ratio = 40 > 0 ? 120 / 40 : 0 = 3
- miss_one = 47 > 0 ? (47 - 9)/47 : 1 = 0.808 511
- miss_two = 47 > 1 ? 0.808 511 * (47 - 1 - 9)/(47 - 1) : 0.808 511 = 0.650 324
- Your equity = 2 >= 2 ? (1 - 0.650 324) * 100 : (1 - 0.808 511) * 100 = 34.9676
- The rule of 4 and 2 estimate = 2 >= 2 ? 9 * 4 : 9 * 2 = 36
- The call is profitable = 34.9676 > 25 ? 1 : 0 = 1
- Edge = 34.9676 - 25 = 9.967 62
- Expected value of calling = 34.9676/100 * (120 + 40) - 40 = 15.9482
- Largest call that stays profitable = 34.9676 < 100 ? 120 * (34.9676/100) / (1 - 34.9676/100) : 0 = 64.5235
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- pot odds = call / (pot + call)
- equity with two cards to come = 1 - (miss on turn) x (miss on river)
- the rule of 4 and 2 multiplies outs by 4 with two cards to come, or by 2 with one
The rule of 4 and 2 slightly overstates equity with many outs; the exact figure is calculated above.
This ignores implied odds — money you might win on later streets — which often justify a call the raw pot odds do not.