Blackjack Odds Calculator

Estimate action EVs and basic-strategy recommendation for a blackjack hand under common rule variations.

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What This Calculator Does

This calculator estimates expected value for the main blackjack actions from the current hand and dealer upcard, then recommends the best action under the selected rule set. It is designed as a practical strategy baseline rather than a composition-dependent solver.

It combines Player Total, Hand Type, Pair Rank (for split), Dealer Upcard to estimate Optimal Action, Stand EV, Hit EV.

Formula & Method

Core equations: Hand EV is the expectation over draw outcomes, EV=\sum p_i\,v_i. Dealer stand probabilities are computed recursively from the dealer upcard under H17/S17 rules, and hit/double/split EVs are evaluated against that terminal distribution.

Notation used in the formulas: R = Optimal Action; x_{1} = Player Total; x_{2} = Hand Type; x_{3} = Pair Rank (for split); x_{4} = Dealer Upcard; x_{5} = Number of Decks; x_{6} = Dealer Rule.

Method summary: inputs are normalized to consistent units, core equations are evaluated, then secondary values are derived and rounded for display.

Use it when you want a quick recommendation for hit, stand, double, split, or surrender, or when you want to see how S17/H17, DAS, or surrender changes the underlying edge.

Inputs Used

Player Total: Used directly in the calculation.
Hand Type: Used directly in the calculation.
Pair Rank (for split): Used directly in the calculation.
Dealer Upcard: Used directly in the calculation.
Number of Decks: Used directly in the calculation.
Dealer Rule: Used directly in the calculation.
Double After Split: Used directly in the calculation.
Late Surrender: Used directly in the calculation.

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