# Probability of rolling a 7 or 11 in craps

So, for example, the probability of rolling a 11 sum in a single roll is 2/36 or 1/ That takes care of the winning or losing probabilities for the naturals (7,11) and the craps (2,3,12) outcomes. What is the probability of throwing craps (7 or 11) on a single roll? A player throws craps 5 times in a row. Would this affect the outcome of the next throw? Would this affect the players bet on the next throw? Send Comments to Joe McDonald. Back to Top. As the chart shows the closer the total is to 7 the greater is the probability of it being thrown. The Field Bet Example. Now that we understand the probability of throwing each total we can apply this information to the dice games in the casinos to calculate the house edge. For example consider the field bet in craps. This bet pays (even money) if the next throw is a 3, 4, 9, 10, or

## What is the probability of rolling a 7 or 11 when rolling a pair of dice?

Sure, it would be possible and quicker to simulate it using a computer, but it wouldn't be nearly as fun. This is a game that is most fun when it is simulated using actual dice. That takes care of the winning or losing probabilities for the naturals 7,11 and the craps 2,3,12 outcomes. If you want to try to double your money quickly on a game of pure chance, one of your best opportunities is to bet all of your money on one game of craps. How does one win the game after the first roll? You are making what is known as a Pass Bet.

** Interesting Fact about casino**

- Croupier's clothes are given out by the casino. There are no pockets there, so you can not hide or steal chips.
- The annual profit from the gaming industry in the US is 18 billion dollars.

## Using Probability to Calculate the Odds in the Game of Craps

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Send an e-mail with your comments about this program or anything else. Craps is a dice game with scoring based sum of rolling 2 dice. A game ends in a single roll if the player wins if he rolls a 7 or 11 a Natural , or loses if he rolls a 2, 3, or 12 Craps. If the first roll is one of the other possibilities, 4, 5, 6, 8, 9, or 10, that sum is called the "point". This program calculates the theoretical chances of winning or losing for each of the eleven initial roll possible outcomes 2 through It also has a page which simulates a million games to verify that the theoretical results are valid.

The math is mostly "Probability " level. By definition, the probability of an particular outcome for an event is the number ways that outcome can occur divided by the total number of outcomes. When rolling two standard six sided dice, there are 36 possible outcomes. For each of the 6 outcomes for die A there are six possible outcomes for die B.

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Craps is an exciting game with lots of action. If you want to try to double your money quickly on a game of pure chance, one of your best opportunities is to bet all of your money on one game of craps.

Let me quickly state that I am talking about straight craps , and not the multiple number of side bets you can make while someone is rolling the dice. The house has only a slight advantage on straight craps, but has a large advantage on the side bets.

If you roll a total of 7 or 11 on the first roll, you win. If you roll a total of 4, 5, 6, 8, 9, or 10 on your first roll, this number becomes your point. You continue to roll the dice. If you get your point total before a total of 7 appears, you win. If you roll a total of 7 before your point total appears, you lose. This is a 1: That is, when you win, you win a dollar for each dollar that you bet.

The possible totals obtained from rolling two dice are shown at the right. First off, note that you can win on the first roll. You can also win if you roll a total of 4, 5, 6, 8, 9, The winning possibilities will be summarized below, but let's first look at an example of winning with a point total. For instance, what is the probability of winning if you initially roll a total of 5? Once you have rolled the 5, the only cells check table above that matter are the ones containing 5 and 7. Every other cell can be ignored.

There are ten cells containing 5 or 7. Four of these cells are "favorable" to you. In craps, if you are not the roller, you can bet with the roller who is called the shooter by putting your money on the Pass Line. You are making what is known as a Pass Bet. As the table indicates, the probability of winning a Pass Bet is The casino sometimes called the house has a Hence, the casino has a 1.

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## How does the odds bet in craps work

Craps is one of the fastest moving and most exciting games in the casino. It can also be one of the most intimidating to newcomers. Although the Craps table layout can be confusing, once you eliminate the bets you should avoid, the game becomes much easier to understand and enjoy. Luckily, the simplest bets are also the ones with the lowest House Advantage. A full-size Craps table needs a crew of four casino personnel to run a game.

At the center of the table is the Boxman who oversees all of the action and also settles disputes. Two Dealers stand on either side of the table. Their responsibilities include cashing players in and out, and collecting and paying off bets.

The Stickman handles the dice and center bets. He also acts as the voice of the game, calling out rolls and winning bets. The roll rotates among players. The Stickman will offer the player whose turn it is, or Shooter, 5 dice of which the Shooter chooses 2. The first roll of the dice is called the Come-Out Roll. A legal roll needs to hit the opposite side of the table and rebound.

A player keeps control of the dice until he loses a roll. If a Come-Out Roll is 4, 5, 6, 8, 9 or 10 the Shooter continues to roll until: So, the lower the better. All House Advantages listed on this sited are expressed in terms of average bet amount using the strategy we recommend. A roll of sixes. Rolling a 2, 3, or 12 on the come-out roll. Rolling a seven after the point has been established.

A roll with a total of 2. This type of bet is also known as betting with the Shooter. This type of bet wins on an initial roll of 7 or 11 and loses on an initial roll of 2, 3 or A Come-Out Roll of 4, 5, 6, 8, 9 or Wins if the initial number is matched later in the roll.

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