Evaluate 5-card poker hand probabilities, Texas Hold'em pot odds, hand equity, outs, and the Rule of 4 and 2.
Did this calculation save you time?
Student ProjectHi! I'm a student developer building Calculat in my spare time. I was tired of searching for basic math tools and having to click through 10 spammy popups, loan ads, and cookie trackers.
I keep this website 100% free, private, and ad-free. If this helped you with your homework, project, or finances today, bookmarking this page or telling a friend helps me keep building more free tools!
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).
\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).
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.
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).
+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.
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%.
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).
Calculate probabilities for sampling without replacement, card draws, lottery ball selections, and quality inspection batches.
Convert between probability percentages, decimal odds, fractional odds, and American moneyline odds with payout estimates.
Calculate combinations nCr and permutations nPr with or without repetition, factorial expansions, and subset ordering.
e.g. 9 outs for flush draw