EV Calculator

Expected value: the only metric that matters in the long run

Every poker decision is a bet on an uncertain outcome. Expected value is the average dollar result of that decision, weighted by how often each outcome occurs. A decision can lose money in the short run and have positive expected value. A decision can win money in the short run and have negative expected value. The calculator resolves the confusion between these two by forcing the arithmetic.

The model

The basic two-outcome EV formula:

EV = (p_win * pot_won) - (p_lose * amount_lost)

where p_win and p_lose are probabilities that sum to 1.0, pot_won is what you gain if the bet succeeds, and amount_lost is what you risk if it fails.

Example: you're deciding whether to call an all-in. Pot is $200 total if you call; you put in $80 to call; you have 40% equity.

EV = (0.40 * $200) - (0.60 * $80) = $80 - $48 = +$32

The call is worth $32 in expected value. Fold instead and you gain $0. Calling is correct.

Multi-outcome model

For more complex spots, EV extends naturally to any number of outcomes as long as all probabilities sum to 1.0:

EV = sum of (p_i * result_i) for all outcomes i

A semi-bluff with a flush draw on the flop has at least three relevant outcomes: villain folds now (you win the current pot), you're called and hit the draw by the river (you win a larger pot), you're called and miss (you lose). Each branch needs a probability and a dollar value. The calculator's multi-outcome mode handles up to five branches.

Bluffing EV specifically

The bluff EV formula adds a fold equity term:

EV(bluff) = (FE * current_pot) + ((1-FE) * equity * pot_if_called) - ((1-FE) * (1-equity) * bet_size)

where FE is fold equity (probability opponent folds to a bet). Say the pot is $100, you bet $80 (pot_if_called becomes $260), FE = 40%, equity when called = 25%:

EV = (0.40 * $100) + (0.60 * 0.25 * $260) - (0.60 * 0.75 * $80) = $40 + $39 - $36 = +$43

Positive EV bluff, despite only winning outright 25% of the time when called.

What each output means

Expected value in dollars is the average result of the decision over a large number of repetitions. Positive means the action gains money over time. Negative means it loses. EV in big blinds normalises the result for comparison across stakes. Running EV tracker lets you log multiple decisions in a session and see aggregate expected value versus actual results, which is the practical way to separate variance from decision quality over a reasonable sample.

ICM-adjusted EV

In tournament play, raw chip EV is not the right metric near the bubble or at the final table. Winning 1,000 chips is not worth as much as losing 1,000 chips, because chips lost are never recoverable and represent a non-linear share of prize equity. To convert chip EV to dollar EV in tournament spots, you need an ICM factor. The calculator's ICM toggle takes your current stack, the field size remaining, and payout structure, then converts the chip-EV outputs to dollar-EV automatically. This is the correct way to evaluate calls and shoves in ICM-heavy situations; chip EV alone leads to calling too often near the bubble. See the ICM deal calculator for the full model.

Where the model breaks

EV calculations assume you know the probabilities. In practice, you estimate them. Fold equity is notoriously hard to estimate accurately; a 5-percentage-point error in your fold equity assumption can flip the sign of the EV. The calculator gives you the arithmetic correctly; it cannot give you accurate probability estimates.

The model also assumes one decision in isolation. Real poker decisions are sequential: calling now commits you to a bet on the turn, and that future commitment has its own EV. The multi-street EV problem is genuinely complex, and the simplified two-outcome tool handles it only approximately.

Game theory optimal play complicates individual EV calculations further: the Nash equilibrium strategy does not maximize EV on every individual hand. It maximises EV against a perfectly adaptive opponent, which may mean playing certain hands at slightly negative raw EV to maintain range balance. For studying specific hands and ranges, the equity calculator provides the equity inputs, and the pot odds calculator gives the required equity threshold.