# Two dice are tossed once.

Two dice are tossed once. What is the probability of getting an even number on the first die or a total sum of 6 on the two dice?

## Answer/Solution

7/12

### Steps/Work

There are 36 possible outcomes for two dice.

The number of outcomes with an even number on the first die is 3*6=18.

The number of outcomes with a sum of 6 is 5.

We need to subtract the outcomes that have both an even number on the first die and a sum of 6 because we have counted those outcomes twice. This number of outcomes is 2.

The number of outcomes with either an even number on the first die or a sum of 6 is 18+5-2=21.

The probability is 21/36=7/12.

The answer is C.

The number of outcomes with an even number on the first die is 3*6=18.

The number of outcomes with a sum of 6 is 5.

We need to subtract the outcomes that have both an even number on the first die and a sum of 6 because we have counted those outcomes twice. This number of outcomes is 2.

The number of outcomes with either an even number on the first die or a sum of 6 is 18+5-2=21.

The probability is 21/36=7/12.

The answer is C.