What are the odds of rolling a 7 or 11?

Let us try to calculate the probability of winning. We can use the probabilities we calculated on the previous page. The probability of winning on the first roll is the probability of rolling 7 or 11, which is 1/6 plus 1/18, which equals to 2/9.

web.math.princeton.edu - Playing Craps - Princeton Math

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Make Your Bookie Cry And Pull The Hair By Generating $23,187

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Previous | ToC | Next Labs: Probability & Statistics. Part 1. Math Alive Playing Craps Here we present the rules for playing the game of craps in our simulation below. When a player rolls the dice for the first time, any combination of the two dice that adds up to 7 or 11 is a winner. Any dice total that equals 2, 3, or 12 is an immediate loser and is called craps. If the first roll is not an immediate winner or a loser, the total of the dice becomes known as the point. For all successive rolls, the player will win a game if the point is rolled again. However, if a 7 is rolled before the point is rolled, the player craps out. Below you can play craps. It will count for you the total number of wins and losses. If you want to restart the count, click on the "Start Over" button.

The Game of Craps Let us try to calculate the probability of winning. We can use the probabilities we calculated on the previous page. The probability of winning on the first roll is the probability of rolling 7 or 11, which is 1/6 plus 1/18, which equals to 2/9. Suppose we roll 4 on the first roll (the probability of rolling 4 is 1/12). On each successive roll the probability of rolling 7 is 1/6 and the probability of rolling 4 is 1/12. That is, on each successive roll the probability of losing is twice that of winning. That means, that on several rolls we are twice as probable to lose as to win. That is, the probability of winning after we rolled 4, is 1/3. Hence, the probability of rolling 4 and winning is 1/12 times 1/3, that is 1/36. Continuing in the same manner we can count the overall probability of winning. Can you do that?

Previous | ToC | Next Last Modified: August 2008

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What does +6.5 mean in sports betting?

For example: Green Bay –6.5 means that Green Bay is the favorite and must win by at least 7 points. Chicago +6.5 means that Chicago is the underdog and has been “spotted” or “given” 6.5 points; if Chicago loses by 6 or fewer points, it is a winning bet (if Chicago pulls an outright upset, it is also a winning bet).

athlonsports.com - What does ""line"" mean in sports betting? - AthlonSports.com

What does line mean in sports betting?

What does “line” mean as a sports betting term?

Another term for “point spread.” It is the betting “line” or gambling odds used to determine the parameters for wagering on either the favorite or underdog in a sporting event. The practice of wagering on a line was encourages betting on both sides involved in the contest. Rather than just picking an outright winner, gamblers are able to wager on the final margin of victory, with the favorite needing to win by a certain number of points and the underdog needing to stay within a certain range of points. For example: Green Bay –6.5 means that Green Bay is the favorite and must win by at least 7 points. Chicago +6.5 means that Chicago is the underdog and has been “spotted” or “given” 6.5 points; if Chicago loses by 6 or fewer points, it is a winning bet (if Chicago pulls an outright upset, it is also a winning bet). Usually, there is a 10 percent “juice” that the house or sportsbook charges for line betting. For example: Green Bay –6.5 (–110) or Chicago +6.5 (–110) means you’d wager $110 for the chance to win an additional $100 if you bet on the point spread. Depending on which side is receiving the most action, a sportsbook will often move the line up or down in order to incentivize betting on the less popular side. Injuries or unforeseen changes can also impact a gambling line. Lines are often listed with a half-point (ex: 6.5) in order to prevent the final margin from landing exactly on the point spread (ex: 7-point spread, final score of 20–13). A “push” or “tie” usually goes to the house or sportsbook, unless another arrangement has been agreed upon beforehand.

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