Hands
Deck — click a slot above, then click a card
Call or Fold? (Pot Odds)
Outs Chance (Rule of 2 & 4)
Why AI Cannot Calculate Your Poker Odds
Ask an AI chatbot how often pocket aces beats king-king and it will confidently give you a number that drifts a few percentage points on every run - because LLMs approximate and memorise rather than compute. Exact poker equity is a combinatorial problem: every remaining card combination must be dealt, every final seven-card hand evaluated, and the winners counted. This page does exactly that with a deterministic hand evaluator that enumerates all 1,712,304 possible preflop runouts for a two-player matchup. The result is exact and reproducible, which is the difference between guessing your odds and knowing them.
Exact Full Enumeration
Every remaining board combination is dealt and scored - no random sampling, no approximations
Win, Tie & Equity
Per-player win percentage, tie percentage and total equity with visual bars
Up to 3 Players
Multi-way matchups with correct split-pot handling across all runouts
Call / Fold Decision
Pot-odds helper compares your exact equity to the required equity for +EV calls
How the Poker Odds Calculator Works
- Deal the hands - click a card slot for the Hero and Opponent (and optionally Player 3), then click cards from the deck below to fill them. Add any board cards you already know.
- Press Calculate Equity - the tool enumerates every possible way the remaining board cards can be dealt, evaluates both final seven-card hands with a full hand-ranking evaluator, and counts who wins each runout.
- Read the results - each player gets an exact equity percentage, plus win and tie percentages. The equity is your long-run share of the pot.
- Make the decision - enter the pot size and the amount to call in the Call-or-Fold panel. If your equity is higher than the required equity, calling is profitable over the long run.
Is Monte Carlo simulation the same as exact enumeration?
No. Monte Carlo deals a random sample of boards - typically a few thousand - and averages the results, so the answer changes slightly every run and has a margin of error. Exact enumeration deals every single possible board combination, so the answer is a true probability with no sampling error. The two agree within about half a percent on typical hands, but only full enumeration is deterministic and reproducible to the decimal.
Why is preflop AA vs KK not exactly 82.4% every time?
82.4% is the widely quoted value for aces versus kings, and this calculator reports 82.6% because it counts split pots differently. The tiny difference comes from the small number of boards where both players tie (for example a board of four to a flush with no one completing it, or a straight on the board). Different tools count those ties into the equity figure in slightly different ways, which shifts the number by a fraction of a percent.
How many board combinations does the calculator enumerate?
For two players preflop there are 48 cards left in the deck and 5 board cards to deal, which is 1,712,304 combinations. With a third player there are 46 cards left and 1,370,754 combinations. Adding flop or turn cards reduces this dramatically - with a flop dealt there are only 990 combinations left to enumerate, so results appear instantly.
What does required equity mean in the call/fold helper?
Required equity is the break-even percentage for a call. It is the amount you must call divided by the pot size after you call. If the pot is $100 and you must call $50, the pot becomes $150 and you need 50 / 150 = 33.3% equity to break even. If your exact computed equity is above that number, the call makes money in the long run.
Can I use the rule of 2 and 4 instead of exact outs math?
Yes, and the outs panel on the right does both. The rule of 2 and 4 is a mental shortcut: multiply outs by 4 on the flop and by 2 on the turn. The exact probabilities are 1 - (47 - outs) x (46 - outs) / (47 x 46) on the flop and outs / 46 on the turn. For 9 outs (a flush draw) the exact flop chance is 35.0% versus the 36% estimate, close enough for a quick decision at the table.
Is this tool legal where online poker is restricted?
This is a purely mathematical calculator - it computes probabilities. It does not connect to any poker site, does not take bets, does not use real money and uploads nothing. Using a probability calculator for study is standard practice everywhere poker study material is available; whether you play online depends entirely on the laws where you live.
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