Blackjack Probability Calculator Exact Engine
Full combinatorial analysis with card removal
Calculator
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The engine removes dealt cards from the shoe, then enumerates every possible dealer draw sequence to compute exact probabilities and EV for each action.
Frequently Asked Questions
How does this differ from other blackjack calculators?
Most calculators use estimates or pre-computed tables. This one runs a full combinatorial engine in your browser — it removes the dealt cards from the shoe and recursively computes every possible dealer outcome weighted by exact probability. The results are mathematically precise, not simulated.
What does the EV number mean?
EV (expected value) is your average gain or loss per dollar bet. An EV of +0.12 means you profit 12 cents per dollar on average. The action with the highest EV is the optimal play — this is how basic strategy charts are derived.
Why do results change with fewer decks?
Card removal has a bigger impact with fewer decks. Taking a 10-value card out of a 1-deck shoe (15 of 49 ten-values remain) shifts probabilities more than from a 6-deck shoe (95 of 309). The engine recalculates the exact remaining composition each time.
Exact Blackjack Probability Calculator
This blackjack calculator uses a full combinatorial engine that enumerates every possible dealer card sequence from the remaining shoe. It accounts for exact card removal and computes precise EV for stand, hit, and double actions — the same mathematical method used to derive basic strategy.
Combinatorial vs. Simulation
Monte Carlo simulations introduce statistical noise. This tool produces exact results by exhaustively computing all possible outcomes, weighted by their true probability given the specific remaining shoe composition.