Texas Hold'em Odds Calculator

Equity is a number, not a feeling

When two hands go to an all-in before the river, there is an exact answer for who's ahead and by how much. "I felt like a favorite" is not the answer. The hold'em odds calculator enumerates every possible runout and returns the precise percentage each hand wins, ties, and loses. There are no estimates here, only arithmetic over a finite set of board combinations.

The model

Complete enumeration (also called "exact calculation") counts every possible combination of remaining community cards. If four cards are known (two hole cards each for two players), there are exactly C(48,5) = 1,712,304 possible five-card boards. The calculator checks every one, assigns the winner, and reports win/tie/loss percentages. For more players, the same enumeration runs with more hands removed from the deck.

When ranges are involved (rather than specific hands), the calculator runs the enumeration for each specific hand combination in each range and weights the results by combo frequency. This is more computationally intensive but the same mathematical process.

The output format: Hand A wins X%, Hand B wins Y%, tie Z%. For equity purposes, equity(A) = X% + Z%/2.

Worked examples

Pre-flop all-in: AKs vs QQ. Exact equity: AKs wins approximately 47.5%, QQ wins approximately 51.2%, tie 1.3%. Many players assume AKs is behind by "a coin flip." It's actually almost a 4-point underdog. The difference matters when you're doing ICM math near a bubble.

On the flop: top pair vs. flush draw. Board: K-7-2 with two hearts. You have KQ (top pair), villain has Ah-Jh (flush draw). Exact equity: KQ wins approximately 65%, AhJh wins approximately 35%. The "two-to-one favorite" framing is roughly right, but exact numbers matter when pot odds hover near the break-even line.

Range vs. specific hand: You bet the river. You put villain on a range of top pair hands (roughly the top 25% of hands). Your hand is a rivered straight. Equity calculation over the range shows you're ahead against most of the range but behind against two-pair combos. Knowing the exact percentage informs your bet-sizing decision.

What each output means

Win percentage is how often your hand wins outright. Tie percentage is how often both hands chop. Loss percentage is how often your hand loses. Equity combines win and half of tie: this is the number you compare to pot odds to determine whether a call is profitable. Odds ratio formats equity as X:Y, where X is the number of losing outcomes and Y is the winning outcomes, useful for quick mental comparison against bet sizes.

Where the model breaks

The calculator computes card equity. It does not compute real-world equity, which includes fold equity, bet-sizing implications, and future streets. A hand with 30% card equity against a specific holding may have much higher actual equity if it can profitably bluff on favorable runouts.

Range inputs require you to estimate what hands your opponent is actually holding. The calculator faithfully computes equity against the range you specify, but a wrongly estimated range produces wrong equity numbers. Garbage in, garbage out: the precision of the enumeration cannot fix an inaccurate range estimate.

Multi-way pots create a specific complexity: in a three-way all-in, equity against the field is not the sum of equity against each individual player calculated in isolation. Card removal effects (the fact that both opponents share a deck) mean three-way equity calculations are genuinely different from pairwise calculations. The calculator handles this correctly by running full multi-player enumeration, not by adding two-player results.

For understanding how equity translates into calling decisions, see the pot odds calculator. For range-vs-range work with a visual grid interface, the equity calculator is the more appropriate tool.