every person knows that if you roll two dice, you'll get a total of between 2 and 12. What most persons don't know is what the odds of accomplishing each total are. They're not hard to assess though.
For demonstration, there is only one way to roll a 2 with 2 dice. They both have to land on 1. The odds of a single die landing on 1 is 1 in 6. To get the odds of both of those dice setting down on 1, you multiple the likelihood of one happening by the other, so you get a total possibility of getting a 2 of 1/36, which is what you get when you multiple 1/6 by 1/6.
You could furthermore articulate this as a percentage. 1/36 is the same thing as ~2.78%.
You could also express this in odds format. The odds of rolling a 2 are 35 to 1. (There are 35 likely outcomes that don't total 2, and 1 likely outcome that does total 2.)
Odds
The odds of revolving a 12 are exactly the same, because you're looking at precisely the same position. There's only one way to get a total of 12 when rolling two dice, and that's for both of the dice to land on 6. So the percentage of getting a total of 12 is ~2.78%, or 1/36, or 35 to 1.
There are two ways to roll a total of 3 though, and there are also two ways to roll a total of 11. The first way of revolving a total of 3 is to get a 1 on the first die and a 2 on the second pass away. The second is to get a 2 on the first pass away and a 1 on the second pass away. (The same reasoning concerns to the total of 11, but we're looking at a 5 and a 6 or a 6 and a 5.) Either way, the odds are 1/18, or ~5.56%, or 17 to 1.
- There are three ways to roll a total of 4 or 10.
- There are four ways to roll a total of 5 or 9.
- There are five ways to roll a total of 6 or 8.
- There are six ways to roll a total of 7.
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