A coin is tossed and a die is thrown. What is the probability of a head on the coin and a number greater than 4 on the die?

Explanation

1. 01

   The coin and the die do not affect each other: a head has probability $\frac{1}{2}$, and a number greater than 4 is 5 or 6, with probability $\frac{2}{6} = \frac{1}{3}$.

2. 02

   $\frac{1}{2} \times \frac{1}{3} = \frac{1}{6}$.