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Basic Blackjack Strategy Matrix

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Playing_card_spade_A.svgThe foundation of winning at Blackjack is to utilize proper basic strategy in playing the hands. “Proper” means that each decision you make on hitting, standing, doubling or splitting pairs is the correct mathematical play for that hand. There is no room for intuition, gut feelings or guessing when it comes to basic strategy; you must make the “percentage” play each time. Even if you’ve doubled an 11 against a dealer’s 10 five times in a row and lost, when that hand comes up a sixth time you must double. Consistency is a big part of playing a winning game, so resolve right now that you are going to make the proper play, regardless if the dealer rolls his eyes upward or the other players at the table groan quietly when you do it. You are there for the money — there’s no other reason to play blackjack — and the application of proper basic strategy is going to get that money for you; what others think of your play is not important.

The correct basic strategy for a blackjack game depends upon the rules of the casino where you will be playing. The strategy that applies to a single-deck game in Reno, for example, is quite a bit different than the strategy for an eight-deck game in Atlantic City. I’m going to show you how to learn the basic strategy of your choice; exactly what that strategy is will depend on you. To select a basic strategy, go to the “Blackjack Strategy Engine” and simply fill in the blanks. Once your strategy is computed, print it out. (If you’re not sure what kind of game you’ll be playing, stick with my “school” game for the moment and we’ll adjust later on.)

Here’s what that looks like for a fairly common game: Six decks, double on any first two cards, double after splitting pairs is permitted and the dealer stands on A-6.

Basic Strategy Matrix :
for 6 Decks, S17, DA2, DAS, No surrender

Splitting Pairs

Pairs 2 3 4 5 6 7 8 9 T A
(A,A) Y Y Y Y Y Y Y Y Y Y
(T,T) N N N N N N N N N N
(9,9) Y Y Y Y Y N Y Y N N
(8,8) Y Y Y Y Y Y Y Y Y Y
(7,7) Y Y Y Y Y Y N N N N
(6,6) Y Y Y Y Y N N N N N
(5,5) N N N N N N N N N N
(4,4) N N N Y Y N N N N N
(3,3) Y Y Y Y Y Y N N N N
(2,2) Y Y Y Y Y Y N N N N

Key:

  • Y = Yes, split the pair
  • N = No, don’t split the pair

Soft Totals

Soft Totals 2 3 4 5 6 7 8 9 T A
(A,9) S S S S S S S S S S
(A,8) S S S S S S S S S S
(A,7) S Ds Ds Ds Ds S S H H H
(A,6) H D D D D H H H H H
(A,5) H H D D D H H H H H
(A,4) H H D D D H H H H H
(A,3) H H H D D H H H H H
(A,2) H H H D D H H H H H

Key:

  • H = Hit
  • S = Stand
  • D = Double; if unable, Hit
  • Ds = Double; if unable, Stand

Hard Totals

Hard Totals 2 3 4 5 6 7 8 9 T A
17 S S S S S S S S S S
16 S S S S S H H H H H
15 S S S S S H H H H H
14 S S S S S H H H H H
13 S S S S S H H H H H
12 H H S S S H H H H H
11 D D D D D D D D D H
10 D D D D D D D D H H
9 H D D D D H H H H H
8 H H H H H H H H H H

Key:

  • H = Hit
  • S = Stand
  • D = Double; if unable, Hit

This is the chart that you will eventually know as well as your own name — but don’t worry, you’re not going to memorize it in this form. What we are going to do is convert all this into what a “normal” person can understand. I call what’s above the “Basic Strategy Matrix” and you will use it in some of your training. But what we need to do in order to memorize this is to translate the information above into all-inclusive rules. Let’s do a few as examples.

Look at the strategy for a player’s hand of 9 on the matrix above; it says to double against a 3,4,5 or 6 and hit it against everything else. We can turn that information into a simple rule: “With a hand of 9, double versus 3 through 6, otherwise hit.” See how this works? We are going to take each player’s starting hand and convert the proper play of that hand into one easy-to-understand rule. Now look at a hand of A-2. Proper basic strategy says to double against 5 and 6 and hit it against everything else, so our rule for A-2 is “Double vs. 5 & 6, otherwise hit.” As a bonus, we can group A-2 with A-3 since the play for each is identical. So we end up with a rule like this “A-2 , A-3; double vs. 5 & 6, otherwise hit.” One more example; a pair of 3’s. When double after split is permitted, proper basic strategy says to split 3’s whenever the dealer is showing a 2,3,4,5,6, or 7. Against any other dealer up card, we do not split; we should just hit the hand. Thus, our rule for a pair of 3’s becomes “3,3; split vs. 2-7, otherwise hit”. Clear on all that? Good. Below is the basic strategy chart for the matrix shown above.

Source: © GameMaster, with permission.

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