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 ↓

Blackjack Basic Strategy Decision Matrix & House Edge Probability Calculator — Interactive Console
Runs locally in your browser • Instant output

Select Matchup Scenario

Table Rule:
Optimal Mathematical Move
RhSurrender (or Hit if Not Allowed)

Surrender if allowed; otherwise Hit. The worst statistical position in blackjack.

Expected Value-0.50 EV

Complete Strategy Matrix (Click Any Cell to Inspect)
H: HitS: StandD: DoubleP: Split

Hand2345678910A
17+SSSSSSSSSS
16SSSSSHHRhRhRh
15SSSSSHHHRhH
14SSSSSHHHHH
13SSSSSHHHHH
A,9HHHHHHHHHH
A,8HHHHHHHHHH
A,7SDDDDSSHHH
A,6HHDDDHHHHH
A,APPPPPPPPPP
10,10SSSSSSSSSS
9,9PPPPPSPPSS
8,8PPPPPPPPPP
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Step-by-Step Instructions

4 Steps to Completion
1Phase 1

Configure the casino table rules (Number of decks, S17 vs H17, Double After Split allowed, Surrender rules, and Blackjack payout 3:2 vs 6:5).

2Phase 2

Select your two-card player hand total (Hard total, Soft Ace hand, or Pair).

3Phase 3

Select the dealer's visible upcard (2 through Ace).

4Phase 4

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

Mastering Casino Blackjack Before Playing
Memorize optimal plays for tricky edge cases (e.g. 12 vs dealer 2 or 3, Soft 18 vs dealer 9, 10, or Ace) with verified combinatorial math.
Evaluating Casino Table Rule Quality
Determine whether a casino offering 6:5 payouts or H17 increases the house edge enough to make the table mathematically unfavorable.
Interactive Strategy Practice on Mobile
Look up the mathematically correct play in seconds while playing casual social card games or online Blackjack.
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100% free, private in-browser utility with zero server uploads.