Dealer Bust Odds by Up-Card
Every decision in basic strategy comes down to one question: how likely is the dealer to bust? Here are the exact numbers for every up-card — the same math our free trainer computes live on every hand.
A dealer showing a 6 busts 43.9% of the time — the weakest card in the deck. An ace busts just 20.1%. Cards 4, 5, and 6 are the "bust cards" you stand and double against; 7 through ace make a hand 3 times out of 4.
Bust probability by up-card
The full picture: every dealer outcome
Bust chance is half the story — it also matters what hand the dealer makes when they don't bust. A 7 mostly makes a mediocre 17; a 10 usually makes a 20. This is the complete distribution:
Ten and ace columns are conditioned on the dealer not having blackjack — in US games the dealer peeks first, so these are the odds you actually face when making decisions. Six-deck shoe, computed by exhaustive recursion (not simulation).
How to actually use these numbers
- Stand on stiffs (12–16) against 2–6. Your hand is weak, but the dealer busts 36–44% of the time. Don't risk busting first — let them take the risk. (Exception: hit 12 vs 2 and 3 — their bust rates are the lowest of the weak cards.)
- Hit stiffs against 7–A. The dealer makes 17+ about three times in four. Standing on your 14 just waits to lose; you have to improve. The full logic is on the strategy chart.
- Double hard into the bust cards. Against 4, 5, 6, the combination of "you're favored to make a hand" and "they're likely to bust" is when betting more is most profitable — doubling 11 vs 6 averages +67¢ per $1.
- Respect the 7. It busts more than 8, 9, or 10 — but when it survives, it usually makes a weak 17 (37% of the time). That's why 17 pushes so often against a 7, and why you stand on 17 but keep hitting soft 17 yourself.
- The ace is the monster. Lowest bust rate, and one in five of its hands is 21. This is why insurance exists as a trap — and why you never take it.
Frequently asked questions
Which up-card busts the most?
The 6 — 43.9% in an H17 game (42.3% S17). The 5 and 4 follow at 41.8% and 39.7%. These three are the "bust cards" basic strategy attacks.
How often does the dealer bust overall?
Roughly 28% of hands across all up-cards in a 6-deck game. The strategic value is in the spread: ~44% vs a 6 down to ~20% vs an ace.
Why does the dealer always seem to pull a 20 with a ten up?
A ten up makes exactly 20 about 37% of the time and reaches 17+ a total of 77% of the time. It's not luck — it's the most ten-rich deck composition in the game. That's why you must hit your stiffs against it.
Are these numbers simulated or exact?
Exact. They're computed by recursing through every possible dealer draw sequence weighted by the 6-deck shoe composition — the same engine that powers the live odds in our trainer.