Multiway equity calculator (3-6 players)
Enter 2-6 players' hole cards and any board to instantly get each hand's equity, sole-win rate and tie rate. Example: AA vs KK vs QQ three-way preflop — after enumerating all 1,370,754 run-outs the equities are 67.67% / 17.23% / 15.10% (summing to 100%). A given board is solved by exact enumeration with no randomness; when the preflop combination count is large it uses fixed-seed Monte Carlo with a 95% confidence interval — identical inputs always reproduce identical results.
Methodology
All figures are computed by lib/multiway-equity.ts deterministically; the LLM generates no numbers. To complete the board to 5 cards: if the combination count is ≤ 2,000,000 it enumerates exactly (reproducible, integer-level); otherwise it uses fixed-seed Monte Carlo (200k samples by default) with a binomial 95% confidence interval. Ties split the pot share by the number of co-winners (N-way chop). Correctness proof: degenerating to 2 players reuses the same evaluate7 evaluator as lib/poker-equity.ts headsUpEquity over the same C(48,5) space, so win/tie/total counts match at the integer level and equity matches digit-for-digit (see automated tests).
For educational and study use only; not betting advice. This site offers no real-money play and no real-time in-game assistance.
FAQ
What is the equity of AA vs KK vs QQ three-way preflop?
Enumerating all 1,370,754 five-card run-outs: AA is about 67.67%, KK about 17.23% and QQ about 15.10%, summing to 100%. The more players and the closer their holdings, the more the strongest hand's equity is diluted (versus about 82% for AA vs KK heads-up).
Are results exact or simulated?
With a given board (flop/turn/river) the remaining combinations are small, so it enumerates exactly with no randomness; preflop it uses fixed-seed Monte Carlo with a 95% confidence interval, and identical inputs reproduce byte-for-byte. The result card labels whether "exact enumeration" or "Monte Carlo" was used.
How are ties (split pots) counted?
By the number of co-winners: when k players tie, each receives a 1/k share of that run-out. Equity is sole wins plus all split shares divided by total run-outs — so the hands' equities always sum to 100%.
How are the numbers trustworthy?
Degenerating to 2 players, this engine reuses the same hand evaluator as our preflop exhaustive engine headsUpEquity over the same C(48,5) board space, matching win/tie/total counts at the integer level and equity digit-for-digit — a double-engine cross-check. All numbers are computed by deterministic code, never generated by AI.