Board Games & Game Mathematics β˜…β˜…β˜† Moderate

πŸƒ Poker Hand Odds β€” Texas Hold'em

Calculate poker hand probabilities in real time. Count your outs, compute pot odds, and see Monte Carlo equity against villain ranges. The rule of 2-and-4 and exact combinatorial odds side by side.

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Rule of 2&4 Equity: β€” Exact Equity: β€” Pot Odds: β€” EV: β€” Decision: β€”

How to read this simulator

The green arc shows your equity (% chance to win). The red line marks the pot-odds threshold β€” if your equity is above it, calling is +EV. Monte Carlo cards on the right simulate random runouts to confirm exact equity. Adjust outs (cards that complete your draw), pot and call to see the EV calculation update live.

The Physics

Hand strength from C(52,2)=1326 starting combos. Outs Γ— 4 β‰ˆ equity on flop; outs Γ— 2 β‰ˆ equity on turn (rule of 2&4). Exact equity: equity = Ξ£ P(card) Γ— win_if_hit. Pot odds: must call ≀ (pot)/(pot+call) to be profitable. Expected value EV = equity Γ— pot βˆ’ (1βˆ’equity) Γ— call.