Notes

Casino Math

Craps

Understanding the probabilities, or the combinations of dice is crucial to understanding the math of craps. In my strategies, I only want to choose the bets that offer the greatest chance 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. To reduce the house percentage, you can take only one odds on the pass line and come bets. click here for info 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 often asked by seminar attendees why place bets perform better than come bets. The answer lies in 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! The bet is declared lost when a 7 is rolled. This gives you a total of 6 combinations. Based on the individual dice combinations, that's 6-4 or 3-4 against.

Now let's 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. cool games to play to 4, or 2 to 1 in your favor for the immediate win versus an immediate loss. For example, if that come bet went to the 5, it now has 4 different dice combinations to win. The come bet that started at the come and ended at the 5, had 12 possible winning combinations, compared to only 5 for the place wager on the 5. That's a huge advantage. This analysis is applicable to any place you bet.

When you consider that all come bets can be placed, the casino advantage is 6.7% for place wagers on the 4-10; 4% for place wagers on 5-9; 1.5% place bets upon the 6-8 and 8. No matter the number, a come bet is just 0.8% with single odds. This is the exact same odds that the pass line with one odds.

To win in craps you must limit the casino's advantage. Also, money management will allow you to take advantage of all streaks. The Benson Strategies help you do just that.

Blackjack

Blackjack is one of the few casino games where the advantage or disadvantage of the player changes with each card. free games to play favors the house by 4%, mainly because if you break and the dealer breaks, guess who gets the money? Of course, it's the house.

Basic strategy can reduce the house advantage to 1.5%. This alone makes it an attractive game. With proper basic play and proper money management you could expect to show a positive return over time.

Additionally, simple strategy can also be combined with card tracking to increase the player's advantage of 1%. As long as there are no high cards in the deck or shoe, the player has an advantage. High cards are better for the player than the dealer because they increase the chances of the dealer breaking and give the player a better chance of getting "pat" hands. The dealer has to hit on 16 or less. High cards mean a greater chance of a dealer fracas.


Most common methods for tracking are simple hi-lo counts (good on single deck games) and card clumping methods (good on shoe games). If blackjack is played well, it offers a 1% mathematical advantage.

Baccarat

Baccarat, like craps, roulette, or other casino games, is known for having a negative expectation. This means that the odds always favor the house. The odds are always in favor of the house mathematically. This can only be done with perfect blackjack card counting (which is why of course they don't let you win a lot).

To win at Baccarat, you must follow the trend. A trend will develop in any random or near random series of events. There won't be enough play to calculate statistical significance. One possibility is that there are 50% more bankers than players, which would be very interesting.

The casino sees real statistical significance since they have so much action going on all the time. Gaming is the only way they can lose. They will only lose if they don't get enough players, or in typical business profit/loss scenarios. But they do NOT lose on the gaming. It is not possible. But it is very possible for the casino to lose to individual 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 is crucial. Because unless you play 24 hours a day, you will never be playing by the same mathematical statistics as the casino. This is immediately eliminated by our departure rules and money management. A bad play and/or lack of discipline will not win the Baccarat player.

Roulette

Roulette has a 5.26% advantage on the player. This is because of the 38 numbers that are on the wheel: 1-36, zero and 00. However, the payoffs are only based on the 36 numbers and not the 0 or 00. 35-1 is the single number. The casino's edge can be summarized as 0 and 0, which is essentially a single number.

Over a long duration, the casino will have a clear mathematical advantage.

Casino's Math

To achieve real odds, you need to play a lot.
All statistics are based on an infinite number of rolls.
Hates deviations in bet sizes.
Does not like structured play, especially in departure rules and money management.
Once you reach a certain volume of play, the mathematical edge is yours.
Casinos will provide any incentive to get this guaranteed mathematical edge.




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