What is the probaility of flipping a heads and rolling a 4 with fair number cube?

To find the probability of flipping a heads and rolling a 4, we multiply the probabilities of each independent event. The probability of flipping heads is ( \frac{1}{2} ), and the probability of rolling a 4 on a fair six-sided die is ( \frac{1}{6} ). Thus, the combined probability is ( \frac{1}{2} \times \frac{1}{6} = \frac{1}{12} ). Therefore, the probability of both events occurring is ( \frac{1}{12} ).