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
Why
House Edge with Perfect Basic Strategy
Extended More scenarios, charts & detailed breakdown
Action
Reason
Professional Full parameters & maximum detail
$

Card Counting (Hi-Lo)

True Count
Player Edge (approx)

Bet Sizing & Insurance

Recommended Bet (Kelly-ish)
Insurance?

How to Use This Calculator

  1. Enter your hand total and select the dealer up card.
  2. Choose Hard, Soft (has Ace), or Pair.
  3. The calculator shows the basic strategy action and reason instantly.
  4. Use dedicated tabs for hard totals, soft totals, and pair splitting.
  5. 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.

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Sources & References (5)
  1. Beat the Dealer — Edward O. Thorp — Edward O. Thorp / Vintage Books
  2. Professional Blackjack — Stanford Wong — Stanford Wong
  3. Wizard of Odds — Blackjack Basic Strategy — Wizard of Odds
  4. Blackjack Apprenticeship — Card Counting Guide — Blackjack Apprenticeship
  5. The World's Greatest Blackjack Book — Humble & Cooper — Humble & Cooper / Doubleday