Last Updated: February 13, 2019

# Composition-Dependent Strategy for Single Deck and Dealer Hits on Soft 17

## Introduction

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 hits a soft 17. Visit Composition-Dependent Strategy for Single Deck and Dealer Stands on Soft 17 for the same thing, except the dealer standing on soft 17.

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:

1. 8 (6+2) vs 6 = Hit
2. 12 (7+5) vs 3 = Stand
3. 12 (8+4) vs 3 = Stand
4. 12 (10+2) vs 4 = Hit

## Three Cards

Basic Strategy Changes:
1. 12 vs 3 = Stand
2. 16 vs 10 = Stand
Exceptions:
1. 15 (5+5+5) vs 10 = Stand
2. 15 (6+5+4) vs 10 = Stand
3. 15 (6+6+3) vs 10 = Stand
4. 16 (6+5+5) vs 9 = Stand
5. 16 (8+4+4) vs 9 = Stand
6. 16 (8+5+3) vs 9 = Stand
7. 16 (6+6+4) vs 10 = Hit
8. 16 (7+6+3) vs 10 = Hit
9. 16 (8+6+2) vs 10 = Hit
10. 16 (9+6+A) vs 10 = Hit

## Four Cards

Basic Strategy Changes:
1. 12 vs 3 = Stand
2. 16 vs 10 = Stand
Exceptions:
1. 12 (2+2+2+6) vs 3 = Hit
2. 12 (2+2+3+5) vs 3 = Hit
3. 12 (2+3+3+4) vs 3 = Hit
4. 15 (A+4+5+5) vs 10 = Stand
5. 15 (A+3+5+6) vs 10 = Stand
6. 15 (A+2+6+6) vs 10 = Stand
7. 16 (A+5+5+5) vs 7 = Stand
8. 16 (2+4+5+5) vs 7 = Stand
9. 16 (3+3+5+5) vs 7 = Stand
10. 16 (3+4+4+5) vs 7 = Stand
11. 16 (4+4+4+4) vs 7 = Stand
12. 16 (A+5+5+5) vs 8 = Stand
13. 16 (2+4+5+5) vs 8 = Stand
14. 16 (3+3+5+5) vs 8 = Stand
15. 16 (3+4+4+5) vs 8 = Stand
16. 16 (4+4+4+4) vs 8 = Stand
17. 16 (4+4+4+4) vs 9 = Stand
18. 16 (5+4+4+3) vs 9 = Stand
19. 16 (5+5+3+3) vs 9 = Stand
20. 16 (5+5+4+2) vs 9 = Stand
21. 16 (5+5+5+A) vs 9 = Stand
22. 16 (6+4+4+2) vs 9 = Stand
23. 16 (6+5+4+A) vs 9 = Stand
24. 16 (8+3+3+2) vs 9 = Stand
25. 16 (8+4+2+2) vs 9 = Stand
26. 16 (8+4+3+A) vs 9 = Stand
27. 16 (8+5+2+A) vs 9 = Stand
28. 16 (9+5+A+A) vs 9 = Stand
29. 16 (9+4+2+A) vs 9 = Stand
30. 16 (6+6+2+2) vs 10 = Hit
31. 16 (6+6+3+A) vs 10 = Hit
32. 16 (7+6+2+A) vs 10 = Hit
33. 16 (8+6+A+A) vs 10 = Hit
34. 16 (10+2+2+2) vs 10 = Hit
35. Soft 18 (3+2+2+A) vs 10 = Stand
36. Soft 18 (3+2+2+A) vs A = Stand

## Five Cards

Basic Strategy Changes:
1. 12 vs 3 = Stand
2. 16 vs 10 = Stand
3. 16 vs 9 = Stand
Exceptions:
1. 12 (A+2+2+2+5) vs 3 = Hit
2. 12 (A+2+2+3+4) vs 3 = Hit
3. 12 (A+2+3+3+3) vs 3 = Hit
4. 12 (2+2+2+2+4) vs 3 = Hit
5. 12 (2+2+2+3+3) vs 3 = Hit
6. 15 (A+A+A+6+6) vs 10 = Stand
7. 15 (A+A+3+5+5) vs 10 = Stand
8. 16 (A+A+4+5+5) vs 7 = Stand
9. 16 (A+2+3+5+5) vs 7 = Stand
10. 16 (A+2+4+4+5) vs 7 = Stand
11. 16 (A+3+3+4+5) vs 7 = Stand
12. 16 (A+3+4+4+4) vs 7 = Stand
13. 16 (2+2+2+5+5) vs 7 = Stand
14. 16 (2+2+3+4+5) vs 7 = Stand
15. 16 (2+2+4+4+4) vs 7 = Stand
16. 16 (2+3+3+3+5) vs 7 = Stand
17. 16 (2+3+3+4+4) vs 7 = Stand
18. 16 (3+3+3+3+4) vs 7 = Stand
19. 16 (A+A+4+5+5) vs 8 = Stand
20. 16 (A+2+3+5+5) vs 8 = Stand
21. 16 (A+2+4+4+5) vs 8 = Stand
22. 16 (A+3+3+4+5) vs 8 = Stand
23. 16 (A+3+4+4+4) vs 8 = Stand
24. 16 (2+2+2+5+5) vs 8 = Stand
25. 16 (2+2+3+4+5) vs 8 = Stand
26. 16 (2+2+4+4+4) vs 8 = Stand
27. 16 (2+3+3+3+5) vs 8 = Stand
28. 16 (2+3+3+4+4) vs 8 = Stand
29. 16 (3+3+3+3+4) vs 8 = Stand
30. 16 (10+3+A+A+A) vs 9 = Hit
31. 16 (7+6+A+A+A) vs 9 = Hit
32. 16 (10+2+2+A+A) vs 9 = Hit
33. 16 (7+5+2+A+A) vs 9 = Hit
34. 16 (6+6+2+A+A) vs 9 = Hit
35. 16 (7+4+3+A+A) vs 9 = Hit
36. 16 (7+4+2+2+A) vs 9 = Hit
37. 16 (7+3+3+2+A) vs 9 = Hit
38. 16 (6+3+3+3+A) vs 9 = Hit
39. 16 (7+3+2+2+2) vs 9 = Hit
40. 16 (6+3+3+2+2) vs 9 = Hit
41. 16 (6+3+3+2+2) vs 10 = Hit
42. 16 (7+6+A+A+A) vs 10 = Hit
43. 16 (10+2+2+A+A) vs 10 = Hit
44. 16 (6+6+2+A+A) vs 10 = Hit

## Six Cards

Basic Strategy Changes:
1. 12 vs 3 = Stand
2. 16 vs 7 = Stand
3. 16 vs 9 = Stand
4. 16 vs 10 = Stand
Exceptions:
1. 12 (3+3+3+A+A+A) vs 3 = Hit
2. 12 (3+3+2+2+A+A) vs 3 = Hit
3. 12 (3+2+2+2+2+A) vs 3 = Hit
4. 15 (6+5+A+A+A+A) vs 10 = Stand
5. 16 (A+A+A+A+3+9) vs 7 = Hit
6. 16 (A+A+A+A+6+6) vs 7 = Hit
7. 16 (A+A+A+2+2+9) vs 7 = Hit
8. 16 (A+A+A+3+5+5) vs 8 = Stand
9. 16 (A+A+2+2+5+5) vs 8 = Stand
10. 16 (A+A+2+3+4+5) vs 8 = Stand
11. 16 (A+A+2+4+4+4) vs 8 = Stand
12. 16 (A+A+3+3+3+5) vs 8 = Stand
13. 16 (A+A+3+3+4+4) vs 8 = Stand
14. 16 (A+2+2+2+4+5) vs 8 = Stand
15. 16 (A+2+2+3+3+5) vs 8 = Stand
16. 16 (A+2+2+3+4+4) vs 8 = Stand
17. 16 (A+2+3+3+3+4) vs 8 = Stand
18. 16 (2+2+2+2+3+5) vs 8 = Stand
19. 16 (2+2+2+2+4+4) vs 8 = Stand
20. 16 (2+2+2+3+3+4) vs 8 = Stand
21. 16 (2+2+3+3+3+3) vs 8 = Stand
22. 16 (6+6+A+A+A+A) vs 9 = Hit
23. 16 (7+3+3+A+A+A) vs 9 = Hit
24. 16 (7+3+2+2+A+A) vs 9 = Hit
25. 16 (7+2+2+2+2+A) vs 9 = Hit
26. 16 (6+3+2+2+2+A) vs 9 = Hit
27. 16 (6+6+A+A+A+A) vs 10 = Hit
28. 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.

• Blackjack main page.
• Appendix 1:Total dependent expected return table for an infinite deck.
• Appendix 2a:Dealer probabilities after dealer peeks for blackjack.
• Appendix 2b:Dealer probabilities before dealer peeks for blackjack.
• Appendix 3a:Composition dependent exceptions to single deck basic strategy where the dealer stands on soft 17.
• Appendix 3b:Composition dependent exceptions to double deck basic strategy where the dealer stands on soft 17.
• Appendix 3c:Composition dependent exceptions to single deck basic strategy where the dealer hits a soft 17.
• Appendix 4:Details on the standard deviation in blackjack.
• Appendix 5:Infinite deck expected return according to player hand and dealer up card.
• Appendix 6:Fine points of when to surrender.
• Appendix 7:Effect of card removal.
• Appendix 8:Analysis of some popular blackjack side bets includingSuper Sevens, Streak, Royal Match, and a tie.
• Appendix 9:Composition dependent expected returns for 1, 2, 4, 5, 6, and 8 decks.
• Appendix 10:The effect on the house edge of the continuous shuffling machines vs. the cut card.
• Appendix 11: Value and strategy for 678 and 777 bonuses.
• Appendix 12:Risk of ruin statistics.
• Appendix 13:Probabilities in the first four cards. May be used to test for the number of decks in online blackjack.
• Appendix 14:Value of each initial player card.
• Appendix 15:House edge using total dependent vs composition dependent basic strategy
• Appendix 16: Basic strategy when dealer exposes both cards.
• Appendix 17: The Ace-Five Count. Possibly the easiest way to count cards.
• Appendix 18: Basic strategy exceptions for three to six cards.
• Appendix 19: Blackjack splitting strategy when a back-player is betting.
• Appendix 20: Blackjack doubling strategy, when doubling after splitting aces is allowed.
• Appendix 21: Details on the Wizard's Simple Strategy.
• "21" Movie — Truth and Fiction : My comments on the movie "21."
• Australian Blackjack: Rules and odds for blackjack down under.
• Introduction to Card Counting
• Rule Variations: The effect of just about every known blackjack rule change.
• Automatic Winner Charlie Rule in Blackjack.

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