Blackjack: Fine points of basic strategy (Appendix 3)
Last update: May 9, 2006
Notice: Please see my Boss Media composition dependent basic strategy charts for their single-deck game. This page is no longer actively maintained and updated.
In single deck blackjack every card that is played has a considerable impact on the distribution of the remaining cards. The following lists will show exactly how to play your cards immediately after a shuffle in a single deck game where the dealer stands on a soft 17. Following these exceptions to basic strategy will lower the house edge by 0.03%. Using this strategy in online single deck blackjack is especially encouraged.
To use this guide first go to the list according to the number of cards in your hand. Then note the basic strategy changes and finally the exceptions to the changes. For example if you have a 16 composed of a 10, 4, and 2 against a 10 look under the 3 card list. You will see that with three cards you should stand on 16 against 10. Going further you will see there are some exceptions, for example with a 16 composed of a 6, 6, and 4 you should hit. If your hand is not listed as an exception so you should stand. It should not be interpreted that this is a card counting guide. Everything is based on exact cards and no numbers represent a count.
Two Cards
Basic Strategy Changes: None
Exceptions:
- 8 (6+2) vs 5 = Hit
- 8 (6+2) vs 6 = Hit
- 12 (7+5) vs 3 = Stand
- 12 (8+4) vs 3 = Stand
- 12 (10+2) vs 4 = Hit
- 12 (10+2) vs 6 = Hit
- 13 (10+3) vs 2 = Hit
Three Cards
Basic Strategy Changes:
- 12 vs 3 = Stand
- 16 vs 10 = Stand
Exceptions:
- 12 (9+2+A) vs 3 = Hit
- 12 (8+2+2) vs 3 = Hit
- 12 (7+3+2) vs 3 = Hit
- 12 (6+3+3) vs 3 = Hit
- 13 (10+2+A) vs 2 = Hit
- 15 (5+5+5) vs 10 = Stand
- 15 (6+5+4) vs 10 = Stand
- 15 (6+6+3) vs 10 = Stand
- 16 (6+5+5) vs 9 = Stand
- 16 (8+4+4) vs 9 = Stand
- 16 (8+5+3) vs 9 = Stand
- 16 (6+6+4) vs 10 = Hit
- 16 (7+6+3) vs 10 = Hit
- 16 (8+6+2) vs 10 = Hit
- 16 (9+6+A) vs 10 = Hit
Four Cards
Basic Strategy Changes:
- 12 vs 3 = Stand
- 16 vs 10 = Stand
Exceptions:
- 12 (A+2+2+7) vs 3 = Hit
- 12 (A+2+3+6) vs 3 = Hit
- 12 (A+3+3+5) vs 3 = Hit
- 12 (2+2+2+6) vs 3 = Hit
- 12 (2+2+3+5) vs 3 = Hit
- 12 (2+3+3+4) vs 3 = Hit
- 15 (A+4+5+5) vs 10 = Stand
- 15 (A+3+5+6) vs 10 = Stand
- 15 (A+2+6+6) vs 10 = Stand
- 16 (A+5+5+5) vs 7 = Stand
- 16 (2+4+5+5) vs 7 = Stand
- 16 (3+3+5+5) vs 7 = Stand
- 16 (3+4+4+5) vs 7 = Stand
- 16 (4+4+4+4) vs 7 = Stand
- 16 (A+5+5+5) vs 8 = Stand
- 16 (2+4+5+5) vs 8 = Stand
- 16 (3+3+5+5) vs 8 = Stand
- 16 (3+4+4+5) vs 8 = Stand
- 16 (4+4+4+4) vs 8 = Stand
- 16 (4+4+4+4) vs 9 = Stand
- 16 (5+4+4+3) vs 9 = Stand
- 16 (5+5+3+3) vs 9 = Stand
- 16 (5+5+4+2) vs 9 = Stand
- 16 (5+5+5+A) vs 9 = Stand
- 16 (6+4+4+2) vs 9 = Stand
- 16 (6+5+4+A) vs 9 = Stand
- 16 (8+3+3+2) vs 9 = Stand
- 16 (8+4+2+2) vs 9 = Stand
- 16 (8+4+3+A) vs 9 = Stand
- 16 (8+5+2+A) vs 9 = Stand
- 16 (9+5+A+A) vs 9 = Stand
- 16 (9+4+2+A) vs 9 = Stand
- 16 (6+6+2+2) vs 10 = Hit
- 16 (6+6+3+A) vs 10 = Hit
- 16 (7+6+2+A) vs 10 = Hit
- 16 (8+6+A+A) vs 10 = Hit
- 16 (10+2+2+2) vs 10 = Hit
- Soft 18 (A+2+2+3) vs 10 = Stand
Five Cards
Basic Strategy Changes:
- 12 vs 3 = Stand
- 16 vs 10 = Stand
- 16 vs 9 = Stand
Exceptions:
- 12 (A+A+3+3+4) vs 3 = Hit
- 12 (A+2+2+2+5) vs 3 = Hit
- 12 (A+2+2+3+4) vs 3 = Hit
- 12 (A+2+3+3+3) vs 3 = Hit
- 12 (2+2+2+2+4) vs 3 = Hit
- 12 (2+2+2+3+3) vs 3 = Hit
- 15 (A+A+A+6+6) vs 10 = Stand
- 15 (A+A+3+5+5) vs 10 = Stand
- 16 (A+A+4+5+5) vs 7 = Stand
- 16 (A+2+3+5+5) vs 7 = Stand
- 16 (A+2+4+4+5) vs 7 = Stand
- 16 (A+3+3+4+5) vs 7 = Stand
- 16 (A+3+4+4+4) vs 7 = Stand
- 16 (2+2+2+5+5) vs 7 = Stand
- 16 (2+2+3+4+5) vs 7 = Stand
- 16 (2+2+4+4+4) vs 7 = Stand
- 16 (2+3+3+3+5) vs 7 = Stand
- 16 (2+3+3+4+4) vs 7 = Stand
- 16 (3+3+3+3+4) vs 7 = Stand
- 16 (A+A+4+5+5) vs 8 = Stand
- 16 (A+2+3+5+5) vs 8 = Stand
- 16 (A+2+4+4+5) vs 8 = Stand
- 16 (A+3+3+4+5) vs 8 = Stand
- 16 (A+3+4+4+4) vs 8 = Stand
- 16 (2+2+2+5+5) vs 8 = Stand
- 16 (2+2+3+4+5) vs 8 = Stand
- 16 (2+2+4+4+4) vs 8 = Stand
- 16 (2+3+3+3+5) vs 8 = Stand
- 16 (2+3+3+4+4) vs 8 = Stand
- 16 (3+3+3+3+4) vs 8 = Stand
- 16 (10+3+A+A+A) vs 9 = Hit
- 16 (7+6+A+A+A) vs 9 = Hit
- 16 (10+2+2+A+A) vs 9 = Hit
- 16 (7+5+2+A+A) vs 9 = Hit
- 16 (6+6+2+A+A) vs 9 = Hit
- 16 (7+4+3+A+A) vs 9 = Hit
- 16 (7+4+2+2+A) vs 9 = Hit
- 16 (7+3+3+2+A) vs 9 = Hit
- 16 (6+3+3+3+A) vs 9 = Hit
- 16 (7+3+2+2+2) vs 9 = Hit
- 16 (6+3+3+2+2) vs 9 = Hit
- 16 (6+3+3+2+2) vs 10 = Hit
- 16 (7+6+A+A+A) vs 10 = Hit
- 16 (10+2+2+A+A) vs 10 = Hit
- 16 (6+6+2+A+A) vs 10 = Hit
Six Cards
Basic Strategy Changes:
- 12 vs 3 = Stand
- 16 vs 7 = Stand
- 16 vs 9 = Stand
- 16 vs 10 = Stand
Exceptions:
- 12 (3+3+3+A+A+A) vs 3 = Hit
- 12 (3+3+2+2+A+A) vs 3 = Hit
- 12 (3+2+2+2+2+A) vs 3 = Hit
- 12 (4+2+2+2+A+A) vs 3 = Hit
- 15 (6+5+A+A+A+A) vs 10 = Stand
- 16 (A+A+A+A+3+9) vs 7 = Hit
- 16 (A+A+A+A+6+6) vs 7 = Hit
- 16 (A+A+A+2+2+9) vs 7 = Hit
- 16 (A+A+A+3+5+5) vs 8 = Stand
- 16 (A+A+2+2+5+5) vs 8 = Stand
- 16 (A+A+2+3+4+5) vs 8 = Stand
- 16 (A+A+2+4+4+4) vs 8 = Stand
- 16 (A+A+3+3+3+5) vs 8 = Stand
- 16 (A+A+3+3+4+4) vs 8 = Stand
- 16 (A+2+2+2+4+5) vs 8 = Stand
- 16 (A+2+2+3+3+5) vs 8 = Stand
- 16 (A+2+2+3+4+4) vs 8 = Stand
- 16 (A+2+3+3+3+4) vs 8 = Stand
- 16 (2+2+2+2+3+5) vs 8 = Stand
- 16 (2+2+2+2+4+4) vs 8 = Stand
- 16 (2+2+2+3+3+4) vs 8 = Stand
- 16 (2+2+3+3+3+3) vs 8 = Stand
- 16 (6+6+A+A+A+A) vs 9 = Hit
- 16 (7+3+3+A+A+A) vs 9 = Hit
- 16 (7+3+2+2+A+A) vs 9 = Hit
- 16 (7+2+2+2+2+A) vs 9 = Hit
- 16 (6+3+2+2+2+A) vs 9 = Hit
- 16 (6+6+A+A+A+A) vs 10 = Hit
- 16 (6+3+2+2+2+A) vs 10 = Hit
Methodology
The fine points of basic strategy was determined using a combinatronic and recursive program that made the optimal play at every step considering the exact distribution of remaining cards. This program was also used to create the basic strategy charts for one and multiple decks.
Boss Media Appendix 1 has a composition dependent basic strategy for single-deck, dealer stands on soft 17, blackjack.
Go back to blackjack.
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