Rukhsana tosses a fair coin and rolls a fair die at the same time. What is the probability that she gets a head on the coin and an even number on the die?

Explanation

1. 01

   The coin and the die are independent: P(head) $= \frac{1}{2}$, P(even) $= \frac{3}{6} = \frac{1}{2}$.

2. 02

   P(head and even) $= \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$.