Notes

Casino Math

Craps

To understand the math behind craps, you need to be able to recognize the probability of winning. In my strategies, we only want to play the bets that have the best probabilities of winning. These are the pass line with odds, come bets with odds, occasional place bets on the 6 and 8, don't pass laying the odds, and don't come either with or without laying the odds.

The house percentage in craps falls to 0.8% if you make the above-mentioned wagers. To reduce the house percentage, you can take only one odds on the pass line and come bets. This will reduce it to the 0.8 %... single odds. To reduce it further to the 0.6 %... tri odds. To make it almost as good as dead even, you can reduce it to the 0.5 %... triple odds.

I am frequently asked why come bets do not perform as well in seminars. It all comes down to the dice combinations. To illustrate, a place wager can be used. A bet placed directly on the number 5, as an example (aka place bet), can only win on a total of four dice combinations: 1-4, 4-1, 2-3, 3-2. That's it! The bet loses when a 7 (which has 6 different combinations) is rolled. This is 6 to 4 or 3 to 2 against, depending on the combination of dice.

Let's take a look at a "come bet". If the come bet is placed in the come area, it will win on a seven or 11, for a total eight dice combinations, and lose on a 2, 3, 12 or 12 for total of 4 dice combinations. It's 6-4, or 2 to 1 in favor of you for the immediate win over an immediate loss. This means that if the come bet is placed on the 5, it has an additional 4 combinations of dice to win. The come bet which started in the come zone and went to the five had 12 different combinations to win, as opposed to just 5 for the bet on the place. That is a significant advantage. This analysis is valid for all types of bets.

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

You must reduce the advantage of the casino and manage your money to maximize any streaks. That's the Benson Strategies.

Blackjack

Blackjack is one of the few casino games where the advantage or disadvantage of the player changes with each card. The house is favored by 4% because the dealer will break if you make a mistake. Guess who wins the money! Of course, it's the house.

Basic strategy can reduce the house advantage to 1.5%. blog here makes it a great game. You can expect a positive return on your investment if you practice good money management and basic play.

In addition, basic strategy combined with tracking of cards played can increase the player's advantage by 1%. As long as there are no high cards in the deck or shoe, the player has an advantage. High cards favor the players because they increase their chances of getting a "pat," or a hand that is a good deal. They also give the dealer a higher chance of breaking. The dealer can only hit on 16 or fewer cards. With high cards remaining, this creates a higher chance of a dealer break.

Simple hi-lo counts, which are useful for single deck game play, and card clumping techniques (which are great for shoe games), are the most commonly used methods for tracking. The 1% advantage is the highest expected mathematical return for expertly played blackjack.

Baccarat


Baccarat can be described as a game of negative expectation (just like craps or roulette). This means that the house is always in the lead. It means that the odds of the house always favor the player mathematically. This is possible only with perfect blackjack card counting (which, of course, doesn't let them let you win much).

Following the trend is how we win at Baccarat. A trend can form in any random or nearly random series of events. It is important to remember that you won't have enough data to make statistically significant probabilities. These numbers are dependent on a lot more play. You could be skewed in one direction: 50% more players than bankers for instance (which would be very nice, by the way).

Since there is so much happening at the casino, they are statistically significant. They cannot lose from gaming itself. They are only able to lose players and typical business profit/loss. play free games do not lose on gaming. It's impossible. However, the casino can lose to specific players. The casino compensates for these losses as they have enough people to make the mathematics work long term.

This last point should be very important. Because you can't play 24 hours per day and you won't be using the same mathematical statistics as the casinos. Our money management and departure rules eliminate this instantly. Bad play and lack of discipline are the only things that can beat a Baccarat dealer.

Roulette

Roulette has a 5.26% edge over the game. This is because the wheel has 38 numbers: 1-36, 0, and 00. However, the payouts are based only upon the 36 numbers, not the 0, and 00. The single number pays 35-1. The casino's edge can be summarized as 0 and 0, which is essentially a single number.

Over a long period, the casino will have an definite mathematical advantage.

Casino Math

It takes a lot of play to win true odds
Statistics are calculated using an infinite number rolls.
Variations in bet sizes are known as Hates deviations.
Structured play is not for him, particularly in the area of money management and departure rules.
Once you reach a certain volume of play, the mathematical edge is yours.
To achieve this mathematical edge, the casino will make every effort to entice you.




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