Blackjack Strategy Calculator
Get the optimal blackjack basic strategy action (hit/stand/double/split) for any hand vs dealer up card. Includes soft totals, pair splitting, Hi-Lo card counting true count, and insurance math.
Basic Strategy Action
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Why —
House Edge with Perfect Basic Strategy —
Extended More scenarios, charts & detailed breakdown ▾
Action
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Reason —
Professional Full parameters & maximum detail ▾
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Card Counting (Hi-Lo)
True Count —
Player Edge (approx) —
Bet Sizing & Insurance
Recommended Bet (Kelly-ish) —
Insurance? —
How to Use This Calculator
- Enter your hand total and select the dealer up card.
- Choose Hard, Soft (has Ace), or Pair.
- The calculator shows the basic strategy action and reason instantly.
- Use dedicated tabs for hard totals, soft totals, and pair splitting.
- Use Professional for Hi-Lo card counting true count and recommended bet sizing.
Formula
Basic strategy minimizes the house edge to ~0.5% by using the optimal decision matrix for all 340 hand combinations.
True Count = Running Count ÷ Decks Remaining
Example
Hard 16 vs dealer 7: Hit. Soft 18 vs dealer 6: Double Down. Pair of 8s vs any: Split. Insurance at TC 3+: Take it.
Frequently Asked Questions
- Basic strategy is the mathematically optimal play for every hand vs every dealer up card, reducing the house edge to ~0.5%. It was computed by Baldwin et al. (1956) and refined by Edward Thorp in "Beat the Dealer."
- Always split Aces (two chances for a 10-card to make 21) and always split 8s (a hard 16 is the worst hand; splitting gives two better starting hands). Never split 10s (20 is too strong).
- Assign +1 to cards 2–6, 0 to 7–9, and −1 to 10s and Aces. Running count ÷ decks remaining = true count. At true count +2 or higher, the player has an edge and should increase bets.
- Insurance is almost always a bad bet: it pays 2:1 but the chance a hole card is a 10 is only 30.8% (16/52) — far below the break-even 33.3%. Only take insurance at Hi-Lo true count ≥ 3.
- With optimal basic strategy on a standard 6-deck game: ~0.5% house edge. Without strategy (guessing): ~2–3%. Card counting with a 1–12 spread can give the player a +0.5% to +1% edge.
Related Calculators
Sources & References (5) ▾
- Beat the Dealer — Edward O. Thorp — Edward O. Thorp / Vintage Books
- Professional Blackjack — Stanford Wong — Stanford Wong
- Wizard of Odds — Blackjack Basic Strategy — Wizard of Odds
- Blackjack Apprenticeship — Card Counting Guide — Blackjack Apprenticeship
- The World's Greatest Blackjack Book — Humble & Cooper — Humble & Cooper / Doubleday