Craps
Understanding the probabilities or dice combinations is the key to understanding the mathematics behind craps. In my strategies, I only want to choose the bets that offer the greatest chance 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 craps house percentage is the lowest among all casino games.played gamesdrops to 0.8 %... double chances. This reduces to 0.6 three odds. This reduces to 0.5 , and then to 0.5 . It can also be reduced to 0.5 triple and ten times to 100 times the odds.
At seminars, I am always asked why place bets are not as good as come bets. It all comes down to the dice combinations. To illustrate, a place wager can be used. For example, a place bet on the number 5 can only win on one of four possible dice combinations: 1-4 to 4-1, 2-3 to 3-2, and 2-3 to 3-2. That's it! The bet loses if a 7, which is the sum of six dice combinations, is rolled. Based on the individual dice combinations, that's 6-4 or 3-4 against.
Let's now take a look at the come bet. The come bet wins on a seven- or eleven-dice combination and loses on a 2, 3, or 12 for a total total of four dice combinations. That's 6 to 4, or 2 to 1 in your favor for the immediate win versus 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 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 valid for all types of bets.
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. A come wager, regardless of the number, is 0.8% with single chances and the exact opposite odds to the pass line.
You must reduce the advantage of the casino and manage your money to maximize any streaks. This is what the Benson Strategies do.
Blackjack
Blackjack is the only casino game in which the advantage or disadvantage of a player changes with every card that is played. The game itself favors the house by 4%, mainly because if you break and the dealer breaks, guess who gets the money? Of course, the house!
You can reduce this house advantage to 1.5% by using basic strategy. This alone makes it a great 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 more high cards remain in an unplayed deck or shoe, the advantage of the player increases. High cards are a favor to the player as they increase the chance of getting a "pat hand" and the dealer's chances of breaking. The dealer must hit 16 or less cards. A dealer break is more likely if there are high cards left.
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. A 1% advantage means that expertly played blackjack is the only casino game that offers the player an expected positive mathematical return.
Baccarat
Baccarat can be described as a game of negative expectation (just like craps or roulette). This means that the house has always the upper hand. 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).
Following the trend is how we win at Baccarat. A trend will develop in any random or near random series of events. Because statistical significance depends on many plays, there won't be enough lay to create real probability numbers. Your results could be skewed one way: Bankers may have 50% more players than you (which would be wonderful, by the side).
Since there is so much happening at the casino, they are statistically significant.games to playcan't lose in gaming. They cannot lose by not having enough players or typical business profit/loss situations. They do not lose on gaming. It's impossible. However, it 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 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 quickly eliminated with our money management rules and departure rules. Bad play and lack of discipline are the only things that can beat a Baccarat dealer.
Roulette
Roulette has an advantage of 5.26% over the player. This is because the wheel has 38 numbers: 1-36, 0, and 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 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
All statistics are based on an infinite number of rolls.
Abweichungen in bet sizes by Hates
Structured play is not something that he likes, especially with regard to departure rules and money management.
The mathematical edge is assured once the volume of play has been reached.
Casinos will provide any incentive to get this guaranteed mathematical edge.
