Poker odds calculator

How to use it

1. 1Enter your handTap the first card slot and pick your two cards. You can also type a rank and a suit, such as “as” for the ace of spades.
2. 2Enter your opponentsFill in each opponent’s cards, or switch a row to range mode and type a range such as 22+, ATs+. An empty seat is treated as a random hand.
3. 3Deal the boardAdd a flop, turn or river if you want equity on a later street. Leave it empty for preflop equity.
4. 4Read the resultThe bar shows win, tie and lose. The mode chip tells you whether the number was enumerated exactly or sampled.

How the maths works

Every equity question is the same question: across all the ways the remaining cards could fall, how often does each hand end up best? There are two honest ways to answer it.

Exhaustive enumeration

With a flop already dealt, there are only 990 turn-and-river combinations left. The calculator walks all of them, scores both hands on each, and counts. Nothing is estimated, so the result is the true percentage rather than an approximation of it.

Monte Carlo sampling

Preflop the count explodes to 1,712,304 boards per matchup. Rather than make you wait, the calculator draws 100,000 random runouts. The sampling error at that size is around 0.1 percentage points, smaller than the rounding in any figure you would act on. The random number generator is seeded from the query itself, so the same input always gives the same answer.