Blackjack Math
INTERACTIVE DRILL // DETERMINISTIC EV

Basic Strategy Trainer — Real-Time EV Error Calculator

Master mathematically optimal blackjack decisions across Hard, Soft, and Split pairs. Quantify exact EV penalties for suboptimal plays in real time.

Rules Baseline: 6 Decks, S17, DAS, Late Surrender
DEALER UPCARD
PLAYER HAND HARD 16
SELECT MATHEMATICAL ACTION
DECISION ACCURACY SESSION AUDIT
Hands Evaluated: 0
Optimal Rate: 100.0%
Current Streak: 0
EV Lost to Suboptimal Plays: -0.000 u

Frequently Answered Questions

Why does Basic Strategy vary between dealer upcards?

Because the dealer must hit until 17 or bust. When the dealer shows a 4, 5, or 6, their probability of busting exceeds 40%, making passive doubling and standing mathematically superior.

What is the mathematical cost of a Basic Strategy error?

A typical strategic error (such as hitting 13 vs 5 or standing on 16 vs 10) costs between -0.05 and -0.22 units in expected value per occurrence, rapidly destroying player edge.

Why is 16 vs 10 surrendered rather than hit?

Hitting 16 vs 10 carries an expected value of approximately -0.535 units (a 76.8% loss rate). Surrendering recovers exactly half the wager (-0.500 units), saving +0.035 units per occurrence.