Question

If you roll two dice, what is the probability of rolling a 3 and an even number?

Answer 1

`1/6`

Explanation:

The probability of rolling a 3 is `1/6`.
The probability of rolling an even number is `3/6`.
Therefore by the multiplication principle, the probability of both the one and the other event occurring is `1/6xx3/6=1/12`

This is when you first roll a 3 and then an even number.
The probability of first rolling an even number and then a 3 is exactly the same.

So the probability of rolling a 3 and an even number (in whatever order) are (adding the chances now):
`1/12+1/12=1/6`