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, come wagers with odds, occasional bets on 6 and 8 and don't pass laying any odds.

If you play the above mentioned bets, the house percentage in craps is the lowest of any casino game. The house percentage drops 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.

I am frequently asked why come bets do not perform as well in seminars. It all comes down to the dice combinations. This point can be illustrated by a place bet. If you place a bet directly upon the number 5, (aka place wager), you can only win on any of these four dice combinations: 4-1, 2-3 and 3-2. That's it! When a 7 is rolled, which has a total of 6 dice combinations, the bet loses. Based on just the dice combinations, it's 6-4 or 3-4 against you.

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. That's 6 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 wager that started in a come area and moved to the 5 had 12 options to win. This was compared to 5 options for the place bet. This is a huge advantage. This analysis can be used for any place bet.

You can also take odds on all of your come bets. Place bets for the 4 or 10 are 6.7% and 4% respectively; place bets for the 5 or 9 are 4% and place bets for the 6 or 8 are 1.5%. 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 at craps, you have to reduce the casino's advantage. Money management is key. That's what the Benson Strategies are all about.

Blackjack

Blackjack is one of the few casino games where the advantage or disadvantage of the player changes with each card. Because you lose and the dealer wins, the game favors house by 4%. Of course, the house!

You can reduce this house advantage to 1.5% by using basic strategy. This makes it an enjoyable game. If you play well and manage your money properly, you can expect to see a positive return over the long-term.

Additionally, simple strategy can also be combined with card tracking to increase the player's advantage of 1%. The advantage of the player increases if there are more high cards left in their unplayed hand (or deck). 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 can only hit on 16 or fewer cards. This increases the chance of a dealer breaking if there are still high cards.

Most common methods for tracking are simple hi-lo counts (good on single deck games) and card clumping methods (good on shoe games). Expertly playing blackjack offers a 1% probability of receiving 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. By always, I mean that there is no known method of play that will place the odds in favor of the player mathematically. online is possible only with perfect blackjack card counting (which, of course, doesn't let them let you win much).

You can win at baccarat by following the trends. Trends will emerge in any combination of random or almost random events. fun player games 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. Your results could be skewed one way: Bankers may have 50% more players than you (which would be wonderful, by the side).

Casinos have a lot of activity and statistical significance. They cannot lose from gaming itself. They only have to lose when they do not get enough players or are subject to typical business loss/profit scenarios. But they do not LOSE on the gaming itself. This is 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 is an important point. 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. The only thing that will beat a Baccarat player is his or her inability to be disciplined and/or poor play.

Roulette

Roulette has a 5.26% edge over the game. This is because there are 38 numbers on the wheel, including 0 through 00. However, the payoffs are only based on the 36 numbers and not the 0 or 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 time, the casino can enjoy a distinct mathematical advantage.

Casino's Math

For true odds to be achieved, there must be a lot of playing.
All statistics are based upon an infinite number roll.
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.
The casino will offer any enticement to achieve this guaranteed mathematical edge.





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