blackjack probabilities

The probabilities of the blackjack card game as calculated by bj.m (or alternatively by bj.lsp) can be used to construct hit-or-stand tables as shown in the following charts. Note that the probabilities are calculated based on infinite decks, i.e. rather suited for large deck games than for single deck games. Surrender and side bets are not considered. (Rules used are s17/doa/das.)
Note also the disclaimer at the bottom of this page.

blackjack hard strategy
hard strategy
bj.m: PlayerHardStrategyTable[]
bj.lsp: (playerhardstrategytable)
The columns show the dealer's up-card, from 2 to ace. The rows show the player's card sum, from 21 down to 4. Upper case letters stand for player favor, lower case for dealer favor, H for hit, S for stand and D for double down.
peculiarities:
· player's 12 vs. dealer's 2 or 3
· player's 9 vs. dealer's 2

blackjack soft strategy
soft strategy
bj.m: PlayerSoftStrategyTable[]
bj.lsp: (playersoftstrategytable)
The columns show the dealer's up-card, from 2 to ace. The rows show the player's soft card sum, from 21 down to 12. Upper case letters stand for player favor, lower case for dealer favor, H for hit, S for stand and D for double down.
peculiarities:
· player's soft 18 vs. dealer's 2
· player's soft 18 generally
· player's soft 17 vs. dealer's 2

blackjack pair strategy (split)
pair strategy (split)
bj.m: PlayerPairStrategyTable[]
bj.lsp: (playerpairstrategytable)
The columns show the dealer's up-card, from 2 to ace. The rows show the player's pair, from A-A down to 2-2. Upper case letters stand for player favor, lower case for dealer favor, H for hit, S for stand, D for double down and P for pair (split).
Re-splitting is not considered.
peculiarities:
· player's 9-9 vs. dealer's 7
· player's 4-4 vs. dealer's 5 or 6

The values and information provided on this page are distributed WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

lr / Wed Mar 4 1998