Answer to Question #220411 in Statistics and Probability for Car1014

Question

A coin is flipped and die is rolled once. What is the probability of flipping a heads on the coin and rolling a 5 on the die? Give your answer as a reduced fraction.

Answer 1

The probability of flipping a heads on the coin is equal to 1/2.

The probability of rolling a 5 on the die is equal to 1/6.

Since a coin is flipped and die is rolled independently, the joint probability is a product of above probabilities.

Therefore, the probability of flipping a heads on the coin and rolling a 5 on the die equals to $1/2\cdot 1/6=1/12$