Question

Given you have rolled one die and it is a 3, what is the probability the next two dice rolled will be two additional 3’s?

Answer 1

`1/36`

Explanation:

The outcome when a die is rolled is independent of any rolls before.
There are always six numbers - you cannot 'use up' any of the numbers.

The probability of throwing any number on a die is `1/6`

`P(3,3) = 1/6 xx 1/6 = 1/36`

The probability of throwing three consecutive threes is:

`P(3,3,3) = 1/6 xx 1/6 xx 1/6 = 1/216`