# TACHS Math : Probability of compound events

## Example Questions

### Example Question #1 : Probability Of Compound Events

When rolling a fair six-sided die and flipping a fair coin, what is the probability of rolling either a  or a  and getting heads on the coin flip?

Explanation:

Recall what a probability is:

Start by finding the probability of rolling either  or  on a die. Since there are a total of  different outcomes, and we only want these two, the probability must be .

Next, find the probability of getting heads on a coin flip. Since we only want heads and there are only  possible outcomes on a coin flip, the probability of getting heads is .

Since the question wants the probability of both events occurring, you must multiply the probabilities together.