Notes

Casino Math

Craps

Understanding the probabilities and dice combinations is key to understanding craps mathematics. My strategies only allow me to place bets with the highest probability of winning. These include the pass line with odds and come bets with chances.


The house percentage in craps falls to 0.8% if you make the above-mentioned wagers. Take single odds on come and pass lines reduces the house percent to 0.8 %... double and further reduces it to 0.06 Triple odds. Further, it drops to 0.0.5 quad odds which reduces it further to 0.0.5 %.... The game is almost even if you take 10 to 100 odds.

At seminars, I am always asked why place bets are not as good as come bets. The answer lies within the dice combinations. This can be illustrated with a place bet. 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! When a 7 is rolled, which has a total of 6 dice combinations, the bet loses. This is 6 to 4 or 3 to 2 against, depending on the combination of dice.

Let's now look at a come wager. 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. This is 6 to 4, or 2:1 in your favor for an immediate win and a loss. It now has 4 more dice combinations to win if the come bet goes to the 5. The come bet that began in the come area and ended at the 5 had 12 combinations of dice to win, while the place bet on 5 had only 5 combinations. That's a huge advantage. This analysis is applicable to any place you bet.

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.

To win in craps, you must minimize the casino's advantage and use money management to capitalize on all streaks, do or don't. This is what the Benson Strategies do.

Blackjack

Blackjack is the only online casino game where the benefit or disadvantage of each card can change. The game itself favors 4% the house, because if the dealer breaks, guess who takes the money. The house, of course!

This house advantage can be reduced to 1.5% by playing basic strategy. apps in itself makes it a good game to play. With proper basic play and proper money management you could expect to show a positive return over time.

In addition, basic strategy combined with tracking of cards played can increase the player's advantage by 1%. As the deck (or shoe) is unplayed, more high cards are added to the player's advantage. High cards favor the player because they give the player a better chance to get a "pat" hand and also they increase the dealer's chance of breaking. The dealer has to hit on 16 or less. High cards mean a greater chance of a dealer fracas.

The most common methods for tracking are simple high-lo counts (good for single-deck games) and card clustering methods (good to track shoe games). If blackjack is played well, it offers a 1% mathematical advantage.

Baccarat

Baccarat can be described as a game of negative expectation (just like craps or roulette). This means that the odds always favor the house. This means that mathematically, there is no way to place the odds in the favor of the player. This can only be done with perfect blackjack card counting (which is why of course they don't let you win a lot).

Follow the trend to win at baccarat. Any random or close to random sequence of events can create a trend. Remember, you will not have sufficient lay to establish real probability numbers, since these depend on lots of play to reach statistical significance. You could be skewed in one direction: 50% more players than bankers for instance (which would be very nice, by the way).

Because there is so much activity, the casino has real statistical significance. Gaming is the only way they can lose. They only have to lose when they do not get enough players or are subject to typical business loss/profit scenarios. They do not lose on gaming. It is impossible. However, games online is possible that the casino may lose to certain players. The casino makes up for these losses because they have enough players to make the mathematics work for them in the long run.

This last point matters. Because you can't play 24 hours per day and you won't be using the same mathematical statistics as the casinos. Our departure rules and money management eliminate this immediately. A bad play and/or lack of discipline will not win the Baccarat player.

video games has a 5.26% advantage over the player. This is because there are 38 numbers on the wheel, including 0 through 00. The payoffs, however, are based on the 36 numbers only, not the 0 and 00. The single number pays 35-1. The casino's edge is the 0 or 00.

The casino will enjoy a mathematical advantage over a long time.

Casino Math

To achieve real odds, you need to play a lot.
Statistics are calculated using an infinite number rolls.
There are always deviations in the bet sizes of Hates.
Structured play is not for him, particularly in the area of money management and departure rules.
Once you have reached the required volume, the mathematical edge will be yours.
Any enticement is offered by the casino to help you achieve this guaranteed mathematical edge.




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