How Often the Dealer Busts, by Upcard

Updated

The dealer busts far less often than most players believe. Even the worst card on the table — a six — breaks only 42.3% of the time. Here is the whole table, computed for six decks and checked against an independent reference.

The short version
Every blackjack figure on this page is computed with our own solver and checked against an independent reference. The house edge calculator adds them up for one specific rule set, and the live calculator applies the same numbers at the table.

The full table

Six decks, dealer stands on soft 17 in the first column and hits it in the second. The ten and ace columns assume the dealer has already checked for blackjack and does not have one — which is the situation you are actually in when you decide.

Dealer showsBusts (S17)Busts (H17)Most likely finish
235.4%35.7%17
337.4%37.7%17
439.6%39.8%17
541.8%42.0%18
642.3%43.9%17
726.2%26.2%17
824.4%24.4%18
922.9%22.9%19
1023.0%23.0%20
Ace16.7%20.1%20
2 35.4% 3 37.4% 4 39.6% 5 41.8% 6 42.3% 7 26.2% 8 24.4% 9 22.9% 10 23.0% Ace 16.7%
Green bars are the cards you stand against. Even those break fewer than half the time.

What the numbers actually tell you

Two things fall straight out of this table.

Standing on a stiff hand is not a plan, it is a bet on 35–42%. When you stand on a 14 against a 5, you are not doing something clever. You are betting that one specific event happens, and it happens 41.8% of the time. It is still the right play, because hitting is worse — but it is not a favorite.

The 7 is the hinge. Bust rates drop off a cliff between the 6 (42.3%) and the 7 (26.2%). That is the whole reason basic strategy changes shape there.

What the soft-17 rule changes

When the dealer hits soft 17 they get more chances to improve and more chances to break. The bust rate rises for every card that can reach a soft 17 — most visibly the 6, going from 42.3% to 43.9%, and the ace, from 16.7% to 20.1%.

Notice that the 10 does not move at all. With a ten showing the dealer cannot hold a soft 17: an ace underneath is blackjack, and any ace drawn later has to count as 1. Charts that print different S17 and H17 numbers for a ten are wrong.

Keep reading

Dealer rulesS17 against H17 in full Odds of a blackjackexactly 4.75% Never bustingwhat that fear costs

By Martin Kosek · every number on this site is computed by us, not copied.

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