Poker EV Calculator

Expected value (EV) is the average amount you'll win or lose from a specific poker decision if you faced the exact same situation thousands of times. It's the bridge between probability and strategy: instead of asking "did I win this hand?" — which is mostly luck on any single hand — EV asks "did I make a decision that wins money on average?" Every call, raise, and fold has its own EV, and the goal of a winning poker player is to make as many +EV decisions as possible.

Poker is a game of repeated decisions over thousands of hands. A correct +EV play can lose any specific time you make it — the cards don't care that you played correctly. But over a large enough sample, your bankroll converges toward the sum of your EV decisions. This is why professional players talk about "running bad" without panicking — they trust that variance smooths out and EV is what determines their long-term win rate. Read more about long-term swings in our variance simulator.

Conflating short-term results with decision quality is the single biggest mistake amateur players make. A river call where you have 60% hand equity is correct even if you lose this specific time, and a hero-call with 25% equity is wrong even if you happen to win. EV evaluates the decision itself, separating it from the outcome — that's why it's the only metric that matters over the long run.

The general EV formula is the sum of every possible outcome's probability multiplied by its payoff:

For a binary call (you either win or lose), this collapses to the standard poker version:

Toy example: consider a coinflip where you stake $1 — heads pays $2, tails loses $1. EV = (0.5 × $2) − (0.5 × $1) = +$0.50 per flip. You'd take that bet every time, even though half the flips you walk away with -$1. Over 1,000 flips, you expect to gain $500.

In poker, "Amount Won" usually means the size of the pot you'd collect at showdown, and "Amount Lost" is the chips you put in to call or raise. P(win) is your equity — the percentage of times your hand wins given the runout. EV is computed per-decision and summed across every action in a hand: each street (preflop, flop, turn, river) has its own EV calculation, and a hand's total EV is the sum of those choices. This compounding is why two players holding the same starting hand can finish with radically different profitability — every street's EV stacks on the last one.

1. Enter your win probability — This is the percentage chance your hand wins the pot. You can estimate this using a poker hand calculator or by counting your outs. For example, a flush draw on the flop has roughly 35% equity, and an open-ended straight draw has about 32%.

2. Enter the win amount — This is how much you stand to gain if your hand holds up. It should be the total pot including your opponent's bet (but not your own call). If you expect to win additional bets on later streets (implied odds), you can include those too.

3. Enter the lose amount — This is the amount you need to invest (your call or raise amount). If your hand doesn't win, you lose this amount.

4. Read the results — The calculator shows your EV in dollars, a breakdown of win and loss components, and a break-even equity comparison. Green means the decision is profitable (+EV), red means it costs you money (-EV).

Each example below walks through the full EV calculation for a realistic poker spot — from preflop reraises to river bluff-catches to multi-street bluffs. Plug your own numbers into the calculator above to test variants.

(a) Preflop call vs a 4-bet — TT on the button

100bb stacks in $1/$2 cash. CO opens to $6, you 3-bet to $18 on the button with TT, CO 4-bets to $44. Call or fold?

Pot before your decision is $44 + $18 + $1 + $2 = $65. You need to call $26 more. Pot odds = $26 / ($65 + $26) = 28.6% required equity. Against a tight CO 4-bet value range (QQ+, AK), TT has roughly 27% equity — the standard reference matchup. EV(call) = (0.27 × $65) − (0.73 × $26) = $17.55 − $18.98 ≈ −$1.43. The call is marginally -EV versus a pure value range. If CO has any bluffs in the 4-bet (A5s, K9s, suited wheel-aces), TT's equity rises to 32–36% and the call flips to clearly +EV. Read the player, then decide. Use the hand equity calculator to test different villain ranges.

(b) Semi-bluff with a flush draw

Heads-up flop: A♠5♠ on T♣5♠2♠. Pot is $100, villain bets $100 (pot-sized). Your hand has a pair of fives, the nut flush draw, and an ace overcard — roughly 45% equity vs a top-pair-or-better range. Just calling is +EV (you have 45% with 33.3% required), but check-raising adds fold equity on top.

Raise to $350. Villain calls $250 more into a $550 pot, needing 31% equity to call profitably — many top-pair hands fold here. Estimate fold equity at 35%. Combined EV approximation: 0.35 × $200 (dead money won) + 0.65 × [0.45 × $700 − 0.55 × $350] = $70 + $79.6 ≈ +$149.6. Compare to EV(call) ≈ 0.45 × $300 − 0.55 × $100 = +$80. The semi-bluff raise outperforms the call because fold equity and showdown equity stack — that's the textbook definition of a semi-bluff. Count your draws with the outs calculator.

(c) River bluff-catch — top pair top kicker

Board runs out K-T-2-8-3, no flush possible. You hold AK for top pair top kicker. Pot is $300, villain shoves $200 on the river. Required equity = $200 / ($300 + $200 + $200) = 28.6% — equivalently, villain needs to be bluffing at least 28.6% of the time for the call to break even.

AK beats every busted draw (QJ, J9, T9), every weaker top-pair (KQ, KJ, KT–), and any pure air. It loses to two pair (KT, K8, K3, K2), sets (KK, TT, 88), and AA. Against a typical regular's shove range on this dryish board, bluffs make up ~35–45% of the combos shoving. EV(call) ≈ 0.40 × $500 − 0.60 × $200 = +$80. Profitable call vs a balanced-aggressive opponent; closer to breakeven against a known nit. Pot odds on its own gets you the threshold — EV tells you how much it's worth in dollars.

(d) Tournament shove with fold equity — A8o on the button

MTT, 15bb effective, blinds 1k/2k, no antes. Folded to you on the button with A8o. Shove or fold? Both blinds call only with strong hands — combined call range ≈ 12% (88+, AQ+, AJs, etc.). About 88% of the time both fold and you win 1.5bb uncontested. When called, A8o has ~36% equity vs that calling range.

Pot when called: 15bb (you) + 15bb (caller) + 2bb (other blind dead) = 32bb. You win net +17bb or lose 15bb. EV(shove) = 0.88 × +1.5bb + 0.12 × [0.36 × 17bb − 0.64 × 15bb] = 1.32 + 0.12 × (6.12 − 9.60) = 1.32 − 0.42 = +0.90 bb. Chip-EV positive — shove. Important caveat: in late-stage MTTs, the Independent Chip Model (ICM) can flip a chip-+EV shove into $-EV because chips lost near a pay jump are worth more than chips gained. Cash EV uses dollars directly; tournament EV near the bubble or final table requires ICM-adjusted EV.

(e) Multi-street bluff — compounding fold equity

You raise A♣Q♦ preflop, c-bet a Q♥7♠2♣ flop, get called. Turn is the 4♦. Should you double-barrel on the turn as a bluff with showdown value (top pair top kicker)?

The point of this example: a single-bullet bluff isn't always +EV, but compound bluffs accumulate fold equity across streets. Suppose villain folds 30% of their flop-call range to a turn bet, and folds 35% of their turn-call range to a river bet. Probability of villain folding by river = 1 − (0.70 × 0.65) = 54.5% — about 83% more fold equity than the single street alone.

The math: when dead pot is $100 and you bet $80 turn + $200 river, the EV of the two-street barrel routinely outperforms the EV of checking back, even with no showdown equity, because the river barrel wins a much bigger pot. Rule of thumb: never bluff a street unless you have a credible plan for the next one. This is the foundation of GTO vs exploitative bluff frequencies — total fold equity over your bluff line, not single-street fold equity, drives the EV.

Big-money decisions. EV math is most valuable on decisions where mistakes hurt most: 3-bet pots, all-in calls, and any river spot involving a large bet. The cost of a wrong fold or wrong call here can equal a dozen smaller mistakes. Pause on these and run the math through the calculator above — plug in your equity estimate, the pot, and your call amount. The break-even equity row tells you the threshold; the EV row tells you how many dollars you gain or lose by acting.

Borderline / marginal decisions. EV also matters most when a decision feels close. Spots where you're "pretty sure it's a fold but maybe a call?" are exactly where the math separates winners from losers. A 51%-equity call you keep folding away is a leak that compounds across thousands of hands. Run the numbers — if you're consistently more than 3% over the break-even threshold, take the call. If you're consistently below, fold without guilt and move on.

When EV is hard to compute reliably. EV calculations get unreliable in deep-stacked pots and ICM-heavy MTT spots. Deep stacks introduce future-street complications: implied odds (additional chips you might win when you hit), reverse implied odds (paying off a better hand when you do hit), and the value of position over multiple streets all distort raw equity math. Tournaments require translating chip EV to dollar EV through the Independent Chip Model — a +0.5bb chip-EV decision can be -$3 in real dollars near a pay jump. For these spots, treat raw EV as a starting point, not the final answer.

When EV is overkill. Conversely, EV math is overkill for clear-cut decisions. Folding 7-2o UTG, calling preflop with KK in a 3-bet pot, or calling a min-bet on the river with a flush — none of these benefit from a calculator. Save EV thinking for the spots that genuinely matter, and don't let analysis paralysis slow your in-game decisions on routine plays.