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

##### 1 Answer

Oct 31, 2015

#### Explanation:

The probability of rolling a 3 is

The probability of rolling an even number is

Therefore by the multiplication principle, the probability of both the one and the other event occurring is

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):