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Can the math help you win

For the majority going through school, the math classes are a form of slow torture. All these tiresome problems to solve and never any obvious relevance to real-world situations. Except, of course, that the theory of probabilities gives you everything you need to know about how to bet effectively. Once you can work out the odds on any given event occurring, you are ahead of the game when it comes to winning. In a sense, gambling is the application of science. But this slightly breaks down because knowing the odds does not guarantee you will win. The actual result of the event is still determined by events outside your ability to control. Whether you win is a matter of luck. So we might conclude that gambling in general is a mixture of science and intangibles like intuition.

Why should this matter? Well, there’s been an interesting case rumbling through the courts in Indiana. Back in 2006, the Grand Victoria Casino and Resort banned a player for counting cards. The gambler made no secret of his good memory and skill in converting the count into accurate predictions about how to bet. In the real world, casinos run card games from a shoe, i.e. they shuffle together multiple packs of cards and stack them into a container. The dealer then pulls the cards from the stack as they are required. This is the favored system because, once the cards have been placed in the shoe, the dealer cannot cheat by sharping cards from the pack or elsewhere. The order in which the cards will be played has been physically fixed. Thus, if someone with a good memory counts the cards as they come out, he or she can work out the probability of when cards of a given value will next come out of the shoe. This technique gives the gambler the chance to beat the House edge. The combination of the optimal strategy and counting gives the player the edge. For this reason, casinos routinely throw counters out and ban them from ever playing again. Casinos prefer the House edge to remain in place. Well, that’s all going to change now because a three-judge panel of the Court of Appeals said the casino had no legal right to exclude the gambler.

This victory for the scientific gambler is a real milestone. It changes the way in which casinos in Indiana operate. Whether it will apply to other US states will depend on the way their gambling is regulated but, reading through the ruling, it looks as though it should apply in quite a few other states. It would be great if this could also apply to online backjack but the sad truth is the software does not mimic the real world. Unlike the shoe and its shuffled cards, the software uses a random number generator to decide which card comes out next. That means there’s no way to use the past cards dealt as a way of predicting future cards. The act of dealing one card is a uniquely random event, not influenced in any way by what has gone before. So scientifically-minded players will be heading to Indiana over the next few months and looking to make a killing. Those of us playing blackjack online will be relying on the optimum strategy and luck to build our winnings.

What is Card Counting? (Page 1 of 2)

Blackjack is based decks of 52 playing cards. If you have ever had a statistics and probability course in school, you’ve probably dealt with the probability of drawing one particular card from the deck. Using the same principles it’s possible to determine the odds of winning or losing any particular blackjack hand.

In any casino blackjack, the house has the edge. That means over time, the casino is going to win more hands than the player. Eventually the casino will win. The casino gets this edge primarily because the player goes first. The player has a chance to bust before the dealer.

Basic blackjack multi-deck strategy is designed to minimize the house edge. If you adhere to strict rules regarding what action to take based on the dealers up card and your hand total, you can reduce the house edge to it’s bare minimum. Basic strategy has already worked out which action will statistically be the best action for the player. Basic strategy does not guarantee you will win every hand. But over a long enough period of time you will perform better if you adhere to the basic strategy. Keep in mind that no matter how well you play the basic strategy, the house still has the statistical edge.

Card counting is the next step beyond basic strategy. The dealer must hit below 17. This means that having low value cards in the shoe is statistically beneficial to the dealer. The dealer has an advantage when it is likely that he will draw a low value card. Conversely, the dealer is at a disadvantage when there are more ten value cards in the shoe. The dealer is more likely to bust when hitting below 17. Statistically the player has an edge of the house when there are more 10 value cards in the shoe.

Card counting seeks to take advantage of knowing when there are more ten value cards in the shoe. Blackjack has a “history” in that as cards are played from the shoe they move to the discard pile. So, if you know that more low value cards have already been played, then you know that there must be equally many ten value cards remaining in the shoe. Therefore you know that you have an advantage over the casino. When you realize you have the statistical edge, you raise your bet accordingly. You wager more when the cards are in your favor.

All card counting systems rely on keeping a “running count”. The running count represents the history of the game. Basically, every time you see a low value card played, you add one or more points from the running count. Every time you see a ten value card (or an ace) you subtract a point. A positive running count is signals that more low value cards have been played, and that there are equally many ten value cards in the shoe. In the most basic systems, that’s all you need to do. You need to know when to add or subtract points, and you must keep an accurate running count in your head.

Please note that that “history” of the game is lost whenever the dealer shuffles. All cards are added back into the shoe, so the game starts over. At this point you must start your running count over at its initial value.