This free course on blackjack and card counting was created by the GameMaster, publisher of the GameMaster Online website. It is reproduced here in its entirety with permission of the author. His 24-lesson course is an excellent introduction to winning blackjack.

To start at the beginning, visit the Welcome page.

### Basic Strategy Variations: Hit or Stand?

**The most common decision any player makes at Blackjack is whether to hit or stand, consequently this will be the most common basic strategy variation and you should learn all the important ones.** The first is with a hand of 16 against a dealer’s up card of 10. You should stand if the count is 0 or higher and hit if it is less than 0. This means that if the running count is 0 or higher, stand. Since the ‘decision’ number is 0, it’s not necessary to calculate the true count — the running count will do in this situation. Don’t get confused here. Almost all basic strategy variations rely on the true count, but for those where the decision number is 0, the running count will suffice.

The next most important hand is 15 against a dealer’s 10. The decision number is a true count of 4, if you are playing at a game of four decks or more. This variation and the others can be easily learned if you make a set of flashcards. They needn’t be fancy or sophisticated; merely accurate. Cut some 2′” squares from manila folders and they’ll work just fine. A typical flashcard should look like this

If you imagine the 10 and 16 placed on the centerline of a 2″ X 2″ square, the 0 is offset so your left thumb covers the number. As you go through the stack, recite “sixteen versus 10, stand at zero” (or higher). For a hand of 15 vs. 10, a card will look like this

When you come to this card, you’ll recite “15 versus 10; stand at 4″.

As time goes on, you won’t need to remind yourself that you should stand with the 15 against 10, so you’ll recite “15 versus 10 is 4″.

Got the idea?

**Here are the numbers you’ll need to learn.** These may vary a bit from numbers you’ll see published in books like Stanford Wong’s “Professional Blackjack” because the ones I use are specifically for a six-deck game where the dealer stands on A-6 and a few have been modified based upon the theory of ‘risk averse’ play which was developed about 15 years ago. These numbers work well; they have been proven in thousands of hours of actual casino play by me and my students. Do NOT use them for single-deck games, however. Single-deck play requires different numbers and will be covered in a future lesson.

There are slight differences in the GameMaster’s index numbers published here and the optimized numbers on the BlackjackInfo Advanced Blackjack Strategy Cards.

These differences are usually due to the use of risk-averse calculations by the GameMaster. I maintain that for the majority of players (who are not playing near the maximum Kelly fraction of their bankroll), straight indexes are preferable to risk-adjusted ones. In any case where risk-averse indexes differ from straight indexes, even by several points, the decisions are quite close and the effect of choosing one index style over another is minimal.

**Basic Strategy Variations: 6 Decks, Dealer Stands on A-6**

12 vs. 2 | Stand at 3 or higher | |

12 vs. 3 | Stand at 2 or higher | |

12 vs. 4 | Stand at 0 or higher | (Yes, if the running count is at all minus, you hit 12 against a 4. It drives the other players at the table crazy!!!) |

12 vs. 5 | Stand at -1 or higher | (This means you hit if the count is LOWER than -1). |

13 vs. 2 | Stand at -1 or higher | |

14 vs. Ace | Stand at 9 or higher | |

15 vs. 7 | Stand at 10 or higher | |

15 vs. 8 | Stand at 10 or higher | |

15 vs. 9 | Stand at 8 or higher | |

15 vs. 10 | Stand at 4 or higher | |

15 vs. Ace | Stand at 9 or higher | |

16 vs. 7 | Stand at 9 or higher | |

16 vs. 8 | Stand at 7 or higher | |

16 vs. 9 | Stand at 5 or higher | |

16 vs. 10 | Stand at 0 or higher | |

16 vs. Ace | Stand at 8 or higher |

And to finish it off, one weird play: Stand with A-7 against Ace at 1 or higher.

### Homework

Make up a set of flashcards and begin learning these variations.

Is it more favourable to surrender than to hit 16 vs 10 at -1? I’m sure this info is on here somewhere, but I haven’t found it.

Thanks for the site and info

B

With 16vT, when surrender is available, surrender if the true count is -4 or higher, else hit.

When surrender is not available, stand at true count 0 or higher, else hit.

Thanks for the reply; can you explain why the -4 makes it favourable to surrender as opposed to hit? I thought a lower count would increase the player’s chances of getting winning hand.

Thanks so much!

B

Make sure you have the right direction of decisions here…

With really bad counts of -5 or worse you should hit (even if surrender is allowed). Because of the bad count, you have a better chance of hitting without busting, although that is offset by the fact that the dealer is also less likely to bust.

At counts of -4 to just under zero, it’s better to hit than stand, but both are worse than surrender’s guaranteed loss of half your bet. So if allowed, surrender.

Once you get to true zero or a plus count, standing becomes better than hitting, but again both are inferior to surrender if it is available. I assume much of that loss rate is due to the increased chance the dealer has a pat hand in plus counts.

Most of my play has been in two-deck games without surrender available, so I rarely played games where I could use dual indexes with one for surrender and one for hit/stand. As a result, I actually never bothered learning the surrender indexes!

thanks- great clarity and information. A last question- basic strategy (6 Decks, S17, DA2, DAS, No surrender) says hit 16 vs 10, but here the variation is to stand on it once the count is zero or higher. Can you explain this just a bit? Everything else I’ve read on blackjack confirms your basic strategy chart.

Thanks again

Ben

I assume you are asking why basic strategy says to hit 16vT, but Hi-Lo strategy is to stand when the count is zero (or better). Well, 16vT is a very close call in basic strategy. If you’re dealt (T,6) vs T off the top of a freshly shuffled shoe, notice that the running count is actually -1 now. That’s enough to swing the decision. That is why basic strategy says to hit, even though the card counting index is zero. Yes, it’s a common point of confusion.

It gets even crazier when you look at the confusing possibility when surrender is available. See 16vT.

Thanks for all the amazing resources.

How would the above basic strategy variations table change if the game involved the dealer hitting on soft 17 instead of standing. This is the more common format that I see in casinos so it is what I have been basing my basic strategy around. Would the true count cutoffs be significantly different with this slight dealer rule change?

How would you know how to vary your basic strategy based on the true count for other variations in rules?

Thanks again for all the help

There are no differences at all for dealer upcards of 7,8,9,T, since the dealer cannot have a soft 17 with those hands.

But against dealer 2 through 6 and Ace, there are several.

Perhaps the largest difference is this one… 12v6 should stand at -1 or higher in 6DS17, but stand at -4 or higher in 6DH17 games.

(The GameMaster doesn’t show this index in his list, but it’s a useful one.)

For more indexes optimized for different by rules, see my Advanced Strategy cards.

So do I have to keep changing back and forth from real count to true count between making my decisions and counting or did I miss the part where one of courses touched on that point?

Yes, you maintain the running count, and then need to convert it to a true count for making betting and playing decisions. Fortunately, it is usually obvious what the play is, and you’re not constantly having to do the conversion. Instead, you’ll have a pretty good idea what the true count is already, and precision is only needed occasionally.

One more question, you only start counting after the deck has been reshuffled into the shoe correct? If you jump in midshoe, you would just play according to the table in Lesson 1 correct?

You can begin counting immediately even mid-shoe, but you must treat the already dealt cards in the discard tray as if they were behind the cut card in the shoe instead. Some people find adjusting for that to be confusing, and choose to just play basic strategy for the partial shoe instead. It’s not a big deal either way.

To confirm, the count starts at zero when the shoe is shuffled again correct?

Thanks again for your help and patience!

Yes, reset the count to zero when they shuffle.

Can somebody please explain the logic behind staying on A,7 vs A with a TC of 1 or greater? Thanks

As the GameMaster writes, in the 6D S17 game, you should stand with A7vA at TC +1 or higher.

(Note that in H17 games, you should ALWAYS hit, no matter what the count.)

You ask what is the logic behind the index of +1 in S17 games?

Well, fewer small cards make standing better in two different ways. Fewer sixes mean less chance that the dealer has a six in the hole to give you an immediate win. And fewer 2s and 3s mean less chance of improving your A7 hand by hitting.

But generally, don’t worry too much about the “why” of index numbers or basic strategy. It just is what it is.

Thanks to this question, I also just discovered that my Advanced Strategy cards are missing this index! The next printing will correct that.

Ahh, that makes sense. I was thinking there would be no harm in a hitting if the odds were high that you would receive a 10. However, I suppose is there is still a good chance of receiving a 7, 8, or 9, which would put you in a bad situation with a positive count. Thanks!