Math Blackjack
Math isn’t something that most gamblers want to think about when they’re gambling, but it can help in so many ways. Blackjack is a casino game that shows exactly how much knowing a little bit of math can improve results.
BLACKJACK CARD COUNTING TEST. Our first card counting test is rather generic and covers things like – the legality of it all, popularity of the various systems, rules, balanced versus unbalanced systems and the Illustrious 18. 15 questions (or so) BLACKJACK CARD COUNTING PRACTICE. Coolmath Games is a brain-training site, for everyone, where logic & thinking & math meets fun & games. These games have no violence, no empty action, just a lot of challenges that will make you forget you're getting a mental workout! Welcome to BlackJack Math Cross Numbers! Tease your brain in this mix of crosswords with blackjack, in this game you need to match all the maths in the colums and lines with 21 as result. Hand-made levels that will test your math skills. Originally composed music to keep you relaxed while solving the puzzles. Fortunately all areas of blackjack math are pretty much done for you in a program called CVCX by QFIT. All you have to do is plug in your bet size, bankroll and game conditions and it will spit out your EV, VAR, SD, N0, CE and even the optimal bet spread.
In fact, if you embrace the arithmetic behind the game, you can actually win more than you lose when you play blackjack.
Here are seven mathematical facts that every blackjack player needs to know.
1 – Odds Based on a Specific Set of Cards
The best thing about playing blackjack for real money is that everything that happens when you play is controlled by a specific set of cards. Most blackjack players don’t think about the game this way, but there are only 52 cards in a deck.
Even if the game is using six or eight decks of cards, there are still only 52 possible cards. And the base game of blackjack really only uses 13 sets of cards. This is because the jack of diamonds and jack of spades are the same. And because there are 13 ranks of cards, there are only 13 sets of cards that matter, no matter how many decks are being used.
This might not seem like it matters much, but once you understand why this is important and how you can use it, it helps you make smart decisions at the blackjack table.
If you have a hard 16 and the dealer is showing a six, do you know what the correct play is? You’re going to learn more about strategy cards in a different section. But if you don’t have a strategy card, you can get a good idea of the correct play using the fact that there are only 13 possible card ranks in the deck.
If you hit and get any card of six through king, you bust. If you bust, it doesn’t matter what happens to the dealer hand. This means that eight cards will make you bust, and only five help your hand.
You also know that the dealer has one of the 13 cards as his or her face down card. If the dealer has a 10 through king, they have a hard 16 and have the same chance to bust as you. You also know that if they have a six through nine, they have to hit and have a decent chance to bust. This means that eight out of 13 cards are bad for the dealer.
If these are the only things you know, it’s clear that the best play is to stand. This is why a specific set of cards is valuable to you when you play blackjack. You can use this information every time you play.
2 – Splitting Eights
Now, you can see some specific ways to use the information you learned about in the first section. Consider your hand if you start with a pair of eights.
You have to place another wager, but it’s worth it to avoid starting with a hard 16. You receive another card on each of your eights.
Here’s a list of cards that help you a great deal on an eight. A two, three, nine, 10, jack, queen, king, and ace all put you in a good spot. This is eight out of 13 cards. Even a four through seven is better than a hard 16. This means that, by splitting, you can’t possibly be in a worse spot than playing it as a hard hand.
If you get another eight, you can split again.
3 – Splitting Aces
When you start with a pair of aces, you have either two or 12. Neither of these is a good starting total. But when you split aces, you have an opportunity to improve by a large amount.
Any of the cards 10 through king give you a total of 21. A six through nine all give you a soft 17 or better. The only cards that don’t help you much are two through five, and you still have a soft hand with each of these. You still have a chance to win. This is another situation where eight out of the 13 possibilities improve your hand quite a bit.
You can see how the mathematics of blackjack help you improve your chances to win by the examples in these first three sections.
4 – Doubling Down
The usefulness of mathematics in blackjack doesn’t stop with the examples above. It’s also useful in situations where you need to determine how to get more money in play when you have a good chance to win.
When you have a hard 11, 10, or nine, it’s often more profitable to double down than to hit. When you double down, you get twice as much money in play on the hand, and you receive one more card to complete your hand.
With an 11, you should double down every time except when the dealer has an ace showing. With a hard 10, doubling down is the most profitable play except when the dealer has an ace or 10 point card showing. And with a nine, you should double down when the dealer shows a three through six.
A few soft hands also are more profitable to double down with, and you can learn more about these hands by using a strategy card. You can learn more about strategy cards in the next section.
5 – Casino Strategy Cards
Now that you see how valuable it is to use math when gambling, you might be wondering if you need to do all of the math yourself. I’m going to put your mind at ease. Someone else has already done all the blackjack math for you and put it in an easy-to-use strategy card.
You can get a strategy card and use it every time you play blackjack. The card has all of the best possible plays, so you simply follow the card on every hand. It covers hard hands, pairs, and soft hands.
6 – Counting Cards
Even if you use a strategy card, you still are fighting a house edge. This means that you’re losing money playing blackjack, even though you’re playing with a small house edge.
But you can use math to help you turn this around and get a small edge against the casino. The way to do this is to use card counting.
Blackjack Math Ia
If you play blackjack, you should learn more about counting cards. It’s not as hard as you probably think, and once you learn how to use proper card counting systems, you can benefit every time you play.
7 – Sizing Your Bets
Math is also helpful when it comes to figuring out how much you need to bet when you play blackjack. And it’s actually pretty simple to figure this out.
When you play blackjack and the casino has an edge, you need to bet the lowest amount possible. This means that every time you play blackjack and aren’t counting cards, you need to make the table’s minimum wager.
Even when you’re using a strategy card, the casino has an edge. It isn’t a big edge, but it’s still an edge. This means that the bigger your bets are, the more you lose.
Depending on the size of your bankroll, you should bet as much as possible when you have an edge. In real life, it’s hard to always bet the least and the most possible depending on the situation. But you’re going to learn how to do this as you learn more about counting cards.
Conclusion
The power of blackjack math starts with the 13 ranks of cards in the deck. Once you understand how you can use this knowledge, your results are going to improve right away.
Use the math behind a blackjack strategy card to get started, then learn how to count cards. If you practice long enough, you can learn how to get an edge every time you play.
RETURN TO SCHOOL
Think you know blackjack? Basic strategy? Card counting? Blackjack history and trivia? The following tests are designed to make you think about the game. All of the answers are available somewhere on the Blackjack Review Network website. Have some ideas or good questions? Submit them now for possible inclusion in our current or future tests or quizzes.
BLACKJACK QUIZ
Our first quiz covers things like – the object of the game, insurance, some history, basic strategy, payoffs, exposed hole blackjack, and surrender. 15 questions (or so)
BLACKJACK BASIC STRATEGY TEST
Our basic strategy test covers things like – how to play your hand with specific dealer up-cards, single versus double versus multi-deck games, standing, hitting, doubling, splitting, insurance, surrender and a couple of odd questions. 17 questions (or so)
BLACKJACK CARD COUNTING TEST
Our first card counting test is rather generic and covers things like – the legality of it all, popularity of the various systems, rules, balanced versus unbalanced systems and the Illustrious 18. 15 questions (or so)
BLACKJACK CARD COUNTING PRACTICE
Check out the free Card Counting Coach online software on our GAMES page. There are three levels – Easy, Medium and Pro. Strive to complete the Pro level before attempting to count in a real casino.
Math In Blackjack
What is the Hi-Lo running count above?
CLICK ANSWER
If this was the first deal out of a single-deck game, what is the true count?
CLICK ANSWER
+4.5 (approx)16 cards were played
So… 52-16 = 36 cards left*
* One of these cards is the burn card
So… 36 cards is about 2/3 deck.
Hi-Lo Running count is +3
Math Blackboard Latex
So… +3 / (2/3) = (+3×3)/2 = +4.5
Math Behind Blackjack
| ↑1 | It really can’t be a single deck since you will notice “two” 2 of clubs |