Question

What is the probability of rolling at least one 5 or 6 when rolling the dice three times?

Answer 1

19/27

Explanation:

Each time that you roll a dice, there is a 1/3 chance you get a 5/6(assuming you have a fair dice). The probability of rolling that atleast once is the inverse of the probability of rolling a 1-4 each time. There is a
`(2)/(3)` chance each time you roll the dice. Thus raising this to the third power results in
`(8)/(27)`. Since we are looking for the inverse probability, we can do:

`1-(8)/(27)` In order to get our final answer.