Question

You roll a six-sided number cube and flip a coin what is the probability of rolling a number greater than 3 and flipping heads? Write your answer as a fraction in simplest form.​

Answer 1

1/4

Explanation:

Possible outcomes from rolling the cube that satisfy the "greater than 3" criterion are {4, 5, 6} out of a total of six possibilities {1, 2, 3, 4, 5, 6}. Thus, the probability of rolling a number greater than 3 is 3/6, or 1/2.

Probability of flipping heads is 1/2.

These are entirely independent events. Thus, the joint probability is (1/2)(1/2), or 1/4.