If when you roll a dice, there’s a 1/6 chance of getting a given number, what are the odds of getting a given number when you roll 6 times?

Question

If you roll 6 times, what are the odds of getting a given number? It can’t be 100%, since there’s a good chance you won’t get the number on any roll, so what percent is it?

Edit: A lot of you are misinterpreting the question. I am asking what the combined odds are to get a given number at least once, not just the 6th roll.

In: Mathematics

Answer 1

66.5%.

To find the answer, you multiply out the odds of **NOT** getting a desired result. So, for each roll you have 5/6 chance of **NOT** getting the result you want, and you multiply that out by the number of rolls.

5/6 * 5/6 * 5/6 * 5/6 * 5/6 * 5/6 = 33.5%, which you then subtract from 100% to get 66.5%.