The Blackjack Odds Calculator provides the statistically optimal action for any player hand against any dealer upcard using basic strategy tables. Playing perfect basic strategy reduces the house edge to approximately 0.5% — the lowest of any standard casino table game.
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Blackjack is the only widely available casino game where player decisions meaningfully affect the outcome — and perfect decisions have been quantified to four decimal places. Basic strategy, derived by Baldwin et al. (1956) and refined by computer simulations, specifies the mathematically optimal play for every possible hand combination. The blackjack odds calculator provides the correct action for your specific hand and dealer upcard, along with the expected value (EV) of each possible choice.
The fundamental patterns in basic strategy for a standard 6-deck game, dealer stands on soft 17:
Hard hands (no ace, or ace counted as 1):
Soft hands (ace counted as 11):
Use this online calculator for the optimal decision for any hand. The blackjack probability calculator provides the statistical breakdown of all possible outcomes.
Blackjack's house edge varies dramatically based on player skill:
The difference between perfect basic strategy and playing by feel over 10,000 hands at USD 25/hand: approximately USD 3,750 in unnecessary losses (1.5% × USD 25 × 10,000). Basic strategy is not card counting — it is the optimal play for a player with no knowledge of remaining deck composition.
Not all blackjack games have the same house edge. Key rules and their impact:
The 6:5 blackjack payout (common in single-deck games at Las Vegas Strip casinos) alone adds 1.39% to the house edge — making a "favorable" single-deck game actually worse than a standard multi-deck game with 3:2 payouts. The gambling calculators provide EV analysis for other casino games.
Standard pair splitting rules for 6 decks, dealer S17, DAS (double after split) allowed:
A bust probability above 50% is the critical threshold — if you're more likely to bust than not when hitting, standing becomes increasingly attractive (though the dealer's up card still matters). Against a dealer showing 7 or higher, the dealer is likely to make a strong hand, making hitting more necessary even with bust risk. Against a dealer showing 4, 5, or 6 (the dealer's weakest cards), standing even on low totals like 13–15 is often correct because the dealer busts frequently with those up cards.
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16 vs. dealer 10 — hit despite 38.5% bust risk because standing wins only ~38% of the time.
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Against dealer 5 (very weak), standing on 15 wins approximately 55% of the time — correct to stand.
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