Poker Odds Calculator
Evaluate 5-card poker hand probabilities, Texas Hold'em pot odds, hand equity, outs, and the Rule of 4 and 2.
Texas Hold'em Pot Odds & Equity Analysis
e.g. 9 outs for flush draw
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What Is a Poker Odds Calculator?
The Poker Odds Calculator computes the statistical probabilities of all standard 5-card poker hands and analyzes live Texas Hold'em decisions. It calculates pot odds, drawing hand equity based on outs, and indicates whether calling a bet represents positive expected value (+EV).
How to Use This Calculator
- In Texas Hold'em mode, enter your number of unseen winning cards (Outs) (e.g. 9 outs for a flush draw).
- Enter current total pot size and the amount required to call.
- Compare your calculated hand equity against pot odds to see the strategic call verdict (+EV or -EV).
- Consult the complete 5-card poker hand hierarchy table to view exact combinatorial probabilities for Royal Flush through High Card.
Pot Odds & Rule of 4 and 2
\text{Pot Odds} = \frac{\text{Call}}{\text{Pot} + \text{Call}}, \quad \text{Flop Equity} \approx \text{Outs} \times 4, \quad \text{Turn Equity} \approx \text{Outs} \times 2Where Outs is the number of remaining cards in the deck that improve your hand to a winner. If Hand Equity (%) exceeds Pot Odds (%), calling is mathematically profitable long-term (+EV).
Worked Example
Scenario: On the turn, the pot is $100 and your opponent bets $25 (amount to call is $25). You have 9 outs to hit your flush on the river.
Calculate total pot: $100 + $25 = $125.
Calculate Pot Odds: $25 / $125 = 20.00%.
Calculate Turn-to-River Equity with 46 unseen cards: 9 / 46 ≈ 19.57%.
Evaluate: 19.57% equity is slightly under 20% pot odds without implied odds, but with future river bets (implied odds), it is an easy profitable call.
Tips & Key Notes
- The Rule of 4 and 2: Multiply outs by 4 on the flop to estimate equity by the river; multiply outs by 2 on the turn for river equity.
- Always factor in "implied odds": extra chips you expect to win on future betting rounds when you hit your draw.
Frequently Asked Questions
What are "outs" in poker?
Outs are any unseen cards remaining in the deck that, if dealt, will improve your hand to likely win the pot (e.g., 9 outs for a flush draw, 8 outs for an open-ended straight draw).
What is positive expected value (+EV)?
+EV means a decision will generate a net profit on average when repeated many times. In poker, a call is +EV whenever your equity percentage is greater than the pot odds percentage.
What are the odds of being dealt Pocket Aces in Texas Hold'em?
The odds of being dealt pocket aces (AA) pre-flop are C(4,2) / C(52,2) = 6 / 1,326 = 1 in 221, or approximately 0.45%.
What are the exact odds of hitting a Royal Flush?
There are exactly 4 Royal Flushes out of 2,598,960 possible 5-card hands, giving odds of 1 in 649,740 (0.000154% probability).
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