How this calculator works
Texas hold'em gives each player two private cards and shares five community cards. A hand is the best five-card combination from the seven cards available. This page deals the unknown community cards and the opponents' hole cards at random many times, scores every hand with the standard poker ranking, and counts the results. The win percentage is the share of deals where your best hand beats every opponent. A tie splits the pot, so equity counts a tie as half a win. Because the opponents' cards are unknown, the answer is an average over all the hands they could hold, not a read on a specific player.
Formula
For each simulated deal, the hand score orders results from high card up to straight flush. Win rate = deals won / deals, tie rate = ties / deals, loss rate = the remainder, and equity = win rate + half the tie rate. Missing cards are drawn without replacement from the 52-card deck after removing the cards you have entered.
Worked example
Pocket aces against one unknown opponent win outright about 85 percent of the time and tie about half a percent of the time, for an equity of roughly 85.4 percent. Ace-king suited against one opponent has equity of about 67 percent. With the full board known, the simulation only randomises the opponents' hole cards, so a hand that is currently the nuts returns 100 percent equity.
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Frequently asked questions
Is this the same as pot odds?
No. Pot odds compare the price of a call with the size of the pot. This page estimates how often your hand wins against unknown opponents. You can combine the two: if your equity is higher than the break-even chance implied by the pot odds, calling has positive expected value.
Why are the answers percentages rather than exact fractions?
The exact number of possible deals is enormous once several opponents and unknown board cards are involved. The page draws fifteen thousand random deals, which gives a stable estimate to within about one percent. The simulation is seeded, so the same cards always produce the same answer.
Can I set my opponents' known cards?
No. This page models opponents whose cards are unknown. Entering their cards would turn the question into a specific showdown, which you can analyse by dealing the remaining board yourself. The unknown-hand model is the useful one before the cards are exposed.
Does position or betting affect the result?
No. The calculation is pure card equity with no folds, bets or reads. A player who folds a weak hand is not in the pot, so the real number of live opponents is often smaller than the number seated. Enter the opponents you expect to still be in the hand.