Craps
Understanding the probabilities, or the combinations of dice is crucial to understanding the math of craps. In my strategies, we only want to play the bets that have the best probabilities of winning. These are the pass lines with odds, the come bets, the occasional place bets, the 6 and 8 don't pass placing the odds and can't be placed with or without the odds.
The craps house percentage is the lowest among all casino games. 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 often asked why place and come bets aren't as profitable as they used to be. The answer lies in the combination of dice. This can be illustrated with a place bet. Placing a bet directly on the number 5 (also known as place bet) can only win on four combinations of dice: 1-4, 4-1 and 2-3. That's it! The bet loses when a 7 (which has 6 different combinations) is rolled. This means that you lose 6 to 4 dice combinations or 3 to 2.
Let's now look at a come wager. When the come wager is in the coming area, it wins with a seven or eleven for a total number of eight dice combinations. It loses with a 2, 3 and 12 for a total loss of four dice combinations. The odds of winning an immediate win are 6 to 4 or 2 to 1. For example, if that come bet went to the 5, it now has 4 different dice combinations to win. So, the come bet that started in the come area and went to the 5 had 12 dice combinations to win, versus only 5 combinations for the place bet on the 5. This is a huge advantage. This analysis can be applied to every place 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.
You must reduce the advantage of the casino and manage your money to maximize any streaks. That's why the Benson Strategies exist.
Blackjack
Blackjack is the only game where the player's advantage and disadvantage change with every card played. 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. This is enough to make it a worthwhile game. If free to play pc games play well and manage your money properly, you can expect to see a positive return over the long-term.
Furthermore, tracking of the cards played, combined with basic strategy, can change the advantage to the player by 1%. As the deck (or shoe) is unplayed, more high cards are added to the player's advantage. 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. The dealer will break more often if there is a high number of cards.
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. An advantage of 1% means that blackjack, when played correctly, is the only casino game that can provide a positive mathematical return.
Baccarat
Baccarat is a game with negative expectations, just like roulette and craps. This means that the house is always in the lead. This means that mathematically, there is no way to place the odds in the favor of the player. This can only happen with perfect blackjack counting (which is also why they don't allow you to win a lot).
The way we win at baccarat is to follow the trend. Trends can develop in any random, or very near random sequence 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. find here is that there are 50% more bankers than players, which would be very interesting.
Casinos have a lot of activity and statistical significance. They can't lose by gaming. They will only lose if they don't get enough players, or in typical business profit/loss scenarios. However, they don't lose the gaming itself. It's impossible. However, the casino can lose to specific players. They make up these losses by having enough players to make the math work in the end.
This last point should be very important. It is important because you won't be playing 24 hours a days if you don't play by the same mathematical statistics of the casino. Our departure rules and money management eliminate this immediately. The only thing that will beat a Baccarat player is his or her inability to be disciplined and/or poor play.
Roulette
Roulette has an advantage of 5.26% over the player. This is because there are 38 numbers on the wheel, including 0 through 00. However, the payoffs depend on only the 36 numbers and not 0 and 00. 35-1 is the single number. The casino's edge lies between the numbers 0 and 00.
Over fun two player games , the casino will have a clear mathematical advantage.
The Casino's Math
For true odds to be achieved, there must be a lot of playing.
All statistics are dependent on an infinite amount of rolls.
Abweichungen in bet sizes by Hates
Does not like structured play, especially in money management and departure rules.
Once the volume of play is achieved the mathematical edge is guaranteed.
The casino will offer any enticement to achieve this guaranteed mathematical edge.