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BlackJack Apppendix 2
The following table shows the probability of the dealer forming any given final hand given the dealer's up-card and assuming that the dealer does not have a blackjack. The table is based on an infinite deck and the dealer standing on a soft 17.

Possible Outcomes of Dealer's Hand Given Initial Card
Dealer's
up Card
Dealer's Final Total
17 18 19 20 21 Bust
2 0.1398 0.1349 0.1297 0.1240 0.1180 0.3536
3 0.1350 0.1305 0.1256 0.1203 0.1147 0.3739
4 0.1305 0.1259 0.1214 0.1165 0.1112 0.3945
5 0.1223 0.1223 0.1177 0.1131 0.1082 0.4164
6 0.1654 0.1063 0.1063 0.1017 0.0972 0.4232
7 0.3686 0.1378 0.0786 0.0786 0.0741 0.2623
8 0.1286 0.3593 0.1286 0.0694 0.0694 0.2447
9 0.1200 0.1200 0.3508 0.1200 0.0608 0.2284
10 0.1207 0.1207 0.1207 0.3707 0.0374 0.2298
Ace 0.1889 0.1889 0.1889 0.1889 0.0778 0.1665

When the dealer does not bust or have a blackjack his average hand will be 18.84863246 points.


Go back to blackjack.

Go to blackjack appendix 1.
Go to blackjack appendix 3.
Go to blackjack appendix 4.

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