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?
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.