Question

Suppose you flip a fair coin and roll an unbiased die at the same time. What is the probability you will flip a head and roll a four?

• A. $\frac{1}{3}$
• B. $\frac{5}{6}$
• C. $\frac{1}{6}$
• D. $\frac{1}{12}$

Answer 1

The correct option is D $\frac{1}{12}$

Sample space: $\left\{\right(\text{H, 1), (H, 2), (H, 3), (H, 4), (H,5 ), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6}\left)\right\}$
Favorable outcome: $\left\{\right(\text{H, 4}\left)\right\}$
So, probability you will flip a head and roll a four $=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}=\frac{1}{12}$