Blackjack Basic Strategy Trainer

Blackjack Basic Strategy Trainer

Blackjack Basic Strategy Trainer

Play hands with keyboard shortcuts H, S, D, P. The coach compares each decision with the EV-optimal move and shows what the mistake costs.

Which rules does the trainer use?

Dealer stands on soft 17, double after split, 3:2 blackjack, no surrender.

More tools

Strategy notes

Why every roulette betting system has the same expected value

A European wheel has 37 pockets. An even-money bet wins on 18 of them and loses on 19, so every unit wagered loses 1/37 of a unit on average, about 2.7%. Changing the size of the next bet after a win or a loss changes how the bankroll moves, not where it is expected to end up. The dashed EV line on the chart is the starting bankroll minus 2.7% of everything wagered so far.

House edge, European wheel
edge = 1 / 37 ≈ 2.70%
American wheel (0 and 00)
edge = 2 / 38 ≈ 5.26%
Expected value of a bet B
EV = (18/37)·B − (19/37)·B = −B/37
Hi-Lo true count
TC = running count ÷ decks remaining
Return to player
RTP = Σ returned ÷ Σ wagered
SystemAfter a lossAfter a winMain risk
MartingaleBet ×2Back to baseLosing streak hits table max or bankroll
FibonacciOne step upTwo steps downSlow, deep drawdowns
D’Alembert+1 unit−1 unitLong sessions drift toward −2.7%

Card counting, briefly

Hi-Lo tracks the ratio of high to low cards left in the shoe. A positive true count means more tens and aces remain, which helps the player. The Card Dojo shows the count live so you can check your own tally, and the EV coach flags any decision that differs from basic strategy.

18+ | Virtual Coins Only. No real money, no deposits, no cash-out, no prizes. Simulated results do not predict real outcomes.