The Bust Probability of Every Dealer Upcard

The blackjack strategy chart does not exist as a list of arbitrary rules. Every stand, hit, and double decision is a direct consequence of two interconnected probabilities: how likely the dealer is to bust, and what your own hand is likely to become. The dealer bust probability for each upcard is the most important number in blackjack strategy it determines whether you play passively (let the dealer bust) or aggressively (take cards and build your own total). Understanding these percentages explains why the chart looks the way it does and gives you a mental framework for every borderline decision you will face. The numbers below are computed across millions of simulated hands under standard Las Vegas 6-deck H17 rules.

Dealer Bust Probability Is the Engine of Basic Strategy

What Is the Stiff Zone?

When the dealer shows 2 through 6, their hidden card is likely to produce a total in the stiff range (12–16). Since the dealer must hit until reaching 17 or more, a stiff starting total means they must take at least one additional card and risk busting. The bust probabilities in this range are: dealer 2 = 35.3%, dealer 3 = 37.6%, dealer 4 = 40.3%, dealer 5 = 41.7%, dealer 6 = 42.3%. Dealer 5 and 6 are the two weakest upcards in the game the dealer busts more than 4 in 10 hands when showing those cards. This is why you stand on stiff hands, double aggressively, and never take unnecessary risks against upcards 2 through 6. The dealer is doing significant damage to their own hand without any help from you.

Dealer 2 is slightly different in practice the 35.3% bust rate is lower than most players assume, which is why hard 12 is a hit against dealer 2 (not a stand like 4, 5, 6). The bust probability is real but not dominant enough to justify standing on a 12. Dealer 3 is similarly borderline for hard 12 decisions. Against 4, 5, and 6 the bust probability is high enough that standing on hard 12 becomes correct strategy.

What Is the Sharp Cliff at Dealer 7?

The transition from dealer 6 to dealer 7 is the most dramatic shift on the entire chart. Bust probability drops from 42.3% to 26.2% a 16-point cliff. This is not a gradual decline; it is a structural break. When the dealer shows 7, the most common hidden card is a 10-value card, producing a dealer total of 17 which means the dealer stands immediately without taking any further risk. Against dealer 7, the dealer completes a made hand more than 73% of the time. This is why your stiff hands become hits against 7 through Ace: passively standing on 14, 15, or 16 will lose the majority of those hands. You must try to improve even at the cost of bust risk.

The bust probabilities for dealer 7 through 10 are remarkably close to each other: 7 = 26.2%, 8 = 24.4%, 9 = 23.0%, 10 = 21.4%. All four upcards produce roughly the same strategy hit every stiff hand, execute your doubles on 10 and 11, don’t stand below 17. Dealer Ace is the outlier with only an 11.7% bust rate, reflecting the dealer’s ability to use the ace flexibly and avoid 22+ totals that would otherwise count as busts.

How Bust Probability Determines Doubling Zones?

Doubling down is profitable when two conditions align: your hand is likely to improve significantly on a single draw, and the dealer is likely to complete a weak final total. Bust probability is the primary driver of the second condition. This is why doubling ranges are widest against dealer 4, 5, and 6 every hand that can realistically be doubled benefits from the 40–42% bust probability working in your favor. Against dealer 9, 10, and Ace, doubling opportunities shrink dramatically because the dealer’s low bust probability means they will frequently complete strong totals that beat your doubled hand regardless of what card you draw.

See the Numbers Play Out in Real Time

Probability percentages become visceral when you watch a live dealer bust three times in five hands showing a 6, then sail through six straight hands showing a 7. To experience how these distributions feel in practice, you can play at use this with real money on the table this week just remember that live tables involve real money, and short-term observations of bust rates will always diverge from the long-run averages printed above.

Before you test these plays at a real table, run them through our free blackjack simulator practice unlimited hands at zero cost until every move becomes automatic.