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Know Math in Casino Games

Know Math in Casino Games – Casino is one of the gambling games that is now increasingly known and played because it can provide many advantages that have been provided.


The key to understanding dice math is understanding dice combinations, or probabilities. In my strategy, we only want to play the bets that have the best probability of winning. These are pass lines with odds, come odds bets, occasionally place bets on 6s and 8s, don’t pass by laying odds, and don’t come with or without laying odds.

If you play the bets mentioned above, the house percentage in the dice is the lowest of all casino games. Taking single odds on a pass line and betting comes reduces the house percentage to 0.8%… double odds reduces it to 0.6%… triple odds reduces it even further to 0.5%… and 10 times to 100 times the odds make the game even almost die.

At seminars, I am always asked why place bets are not as good as come bets. The answer lies in the combination of the dice. Place bets can be used to illustrate this. A direct bet on the number 5, for example (aka a place bet), can only win on a total of four dice combinations: 1-4, 4-1, 2-3, 3-2. There he is! When a 7 is issued, which has a total of 6 dice combinations, the bet loses. That means 6 to 4, or 3 to 2 against you based on dice combinations alone.

Now let’s look at the come bet. When the come bet is in the come area, it wins on seven or 11 for a total of eight dice combinations and loses on 2, 3 or 12 for a total of 4 dice combinations. That’s 6 to 4, or 2 to 1 for an outright win versus an outright loss. If the bet comes up it should go to 5, for example, now has 4 other dice combinations to win. So, a come bet starting in the come area and going to 5 has 12 dice combinations to win, versus only 5 combinations to place a bet on 5. That’s a huge advantage. This analysis can be applied to any place bet.

Adding to the fact that you can take odds on all bets that come along, the casino’s advantage on betting on 4 or 10 is 6.7%; to place a bet on 5 or 9, it’s 4%; and place a bet on 6 and 8, that’s 1.5%. The come bet, no matter what the amount, is only 0.8% with single odds, the exact same odds as the pass line with single odds.

To win at craps, you have to minimize the casino’s profits and use money management to take advantage of all the hits, do or don’t. That is the essence of the Benson Strategy.


Blackjack is the only casino game where the player’s gain or loss changes with each card played. The game itself benefits the house by 4%, mainly because if you bust and the dealer busts, guess who gets the money? The house, of course!

This house advantage can be reduced to 1.5% by playing the basic strategy. This in itself makes it a great game to play. With the right base game and proper money management, you can expect to show positive results over time.

Furthermore, tracking the cards played, combined with basic strategy, can change a player’s advantage by 1%. The player’s advantage increases as more high cards remain in the deck (or shoe) that have not been played. A high card benefits the player because it gives the player a better chance of getting a “pat” and also increases the dealer’s chances of breaking. The dealer must reach 16 or less. With a high card remaining, this creates a higher chance of bankrupting the dealer.

The most common methods for tracking are the simple hi-lo count (great for single-deck games) and the card clumping method (great for shoe games). A 1% advantage means that expertly played blackjack is the only casino game that offers players the expected positive mathematical returns.


Baccarat is known as a game of negative expectations (just like craps, roulette, etc.). This means that the odds are always in the house’s favor. I mean always, there is no known method of play that will put the odds on the player mathematically. This can only be done with perfect blackjack card counting (which is why they don’t let you win much).

The way we win at baccarat is to follow the trend. A trend will develop in a random or near random series of events. Remember, you won’t have enough layman to establish real probability numbers, as these depend on many games to reach statistical significance. You can lean in one direction: 50% more players than bankers for example (which would be great, by the way).…

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