Basic Strategy, Explained

Basic strategy is the mathematically correct play for every blackjack hand against every dealer upcard. The game is solved, and the chart is the answer. Some plays on the chart feel wrong, and each one is right for a reason you can check. If you only want the answers, they are on the strategy chart. If you want them to become reflex, train them on the training table.

Why blackjack is solvable

The dealer has no choices. The dealer hits until 17 and stops. So for any hand you hold, against any upcard, every action you could take has a computable expected value: the average amount you win or lose per dollar bet if the situation repeated forever. Basic strategy is the action with the highest expected value in each situation. Our chart is not copied from a book. Our engine computes those expected values directly, and the trainer uses the same engine to price your mistakes in dollars.

Where the math overrules instinct

16 against a 10: hit. It feels suicidal, because you bust more often than not. But standing wins only when the dealer busts, about 23% of the time from a ten. Hitting is also bad, since 16 vs 10 is the worst hand in blackjack, but it beats standing by less than a cent per dollar. The chart picks the cheaper loss.

12 against a 4: stand. Only four ranks bust you (10, J, Q, K), so hitting feels safe. But the dealer's 4 busts about 40% of the time, and your 12 beats nothing the dealer makes. The only way you win standing is a dealer bust, and a 4 busts often. Stand and let the dealer bust.

Soft 18 against a 9: hit. Eighteen sounds like a made hand, but against a 9 it loses on average, because the dealer makes 19 or better too often. The ace means the next card cannot bust you, so the draw gains more than it loses.

What basic strategy is worth

With perfect basic strategy at a decent table, the house edge is about half a percent. We measured it at about 0.66% over 20 million simulated hands. Playing by feel typically gives the house an extra one to two percentage points. At $25 a hand, perfect strategy loses about $16 per hundred hands on average, and guessing loses $40 or more. The chart does not beat the game. Only counting can do that, and only under the right conditions. The chart does make blackjack the cheapest game in the casino.

How to learn it

Do not memorize the chart cell by cell. Learn the patterns. Always stand on hard 17+. Always hit 8 or less. Double 11 against everything at H17 tables, the common game (at S17, hit against the ace). Never split tens or fives. Always split aces and eights. The 12–16 "stiff hands" follow one rule: stand against a weak dealer upcard (2–6), hit against a strong one (7–ace), except 12 vs 2 and 3, which you hit. Then train at the table until the plays are reflex. The table grades every decision as you make it and shows what each mistake costs in dollars, so you spend your time on the cells you miss.

Rule variations

Rules move the chart a little. H17 tables add a few doubles. Surrender lets you give up a 15 or 16 for half the bet. Double-after-split makes more pair splits worthwhile. The chart page recomputes for each variant. Pick your table's rules and study that version.