Blackjack Basic Strategy Decision Matrix & House Edge Probability Calculator
Calculate mathematically optimal Blackjack decisions (Hit, Stand, Double Down, Split, Surrender) for any player hand against any dealer upcard. Tailor probability matrices for shoe deck counts, Dealer Hits/Stands on Soft 17, and surrender rules.Documentation & FAQs ↓
Select Matchup Scenario
Surrender if allowed; otherwise Hit. The worst statistical position in blackjack.
Complete Strategy Matrix (Click Any Cell to Inspect)H: HitS: StandD: DoubleP: Split
| Hand | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | A |
|---|---|---|---|---|---|---|---|---|---|---|
| 17+ | S | S | S | S | S | S | S | S | S | S |
| 16 | S | S | S | S | S | H | H | Rh | Rh | Rh |
| 15 | S | S | S | S | S | H | H | H | Rh | H |
| 14 | S | S | S | S | S | H | H | H | H | H |
| 13 | S | S | S | S | S | H | H | H | H | H |
| A,9 | H | H | H | H | H | H | H | H | H | H |
| A,8 | H | H | H | H | H | H | H | H | H | H |
| A,7 | S | D | D | D | D | S | S | H | H | H |
| A,6 | H | H | D | D | D | H | H | H | H | H |
| A,A | P | P | P | P | P | P | P | P | P | P |
| 10,10 | S | S | S | S | S | S | S | S | S | S |
| 9,9 | P | P | P | P | P | S | P | P | S | S |
| 8,8 | P | P | P | P | P | P | P | P | P | P |
Step-by-Step Instructions
4 Steps to CompletionConfigure the casino table rules (Number of decks, S17 vs H17, Double After Split allowed, Surrender rules, and Blackjack payout 3:2 vs 6:5).
Select your two-card player hand total (Hard total, Soft Ace hand, or Pair).
Select the dealer's visible upcard (2 through Ace).
Review the optimal mathematical decision (Hit, Stand, Double, Split, or Surrender) along with expected value comparisons and color-coded strategy chart.
Practical Use Cases & Real-World Scenarios
Rule-Tailored Basic Strategy Matrix
Dynamically generates exact decision tables for Hard Totals (5–20), Soft Hands (A,2–A,9), and Pairs (2,2–A,A) across custom casino rules.
Custom Table Rules Configurator
Configure single deck, double deck, 6-deck, or 8-deck shoes, Dealer Hits on Soft 17 (H17) vs Stands (S17), Double After Split (DAS), and Late Surrender.
Mathematical Expected Value (EV) Breakdown
Displays expected monetary return per dollar bet for each possible action (Hit vs Stand vs Double) to demonstrate why the recommended play minimizes house edge.
Theoretical House Edge Simulator
Calculates the baseline casino house advantage (ranging from ~0.4% under liberal rules to over 2% under unfavorable continuous shuffle variants).
Frequently Asked Questions
What is Basic Strategy in Blackjack?↓
Why should you never play at a Blackjack table that pays 6 to 5 instead of 3 to 2?↓
How does 'Dealer Hits on Soft 17' (H17) affect the player?↓
Why should you always split Aces and Eights?↓
Why does basic strategy dictate hitting on 12 against a dealer 2 or 3?↓
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Dive deeper into the foundational technical concepts behind this tool on our editorial blog. Includes comprehensive hardware benchmarks, case studies, and best practices.
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