WAEC 2023 · Paper 1 · Q15

Probability & distributions

The probabilities that Atta and Tunde will hit a target in a shooting contest are $\frac{1}{6}$ and $\frac{1}{9}$ respectively. Find the probability that only one of them will hit the target.

Worked solution (try it first)

Atta hits and Tunde misses: $\frac{1}{6} \times \frac{8}{9} = \frac{8}{54}$ .
Atta misses and Tunde hits: $\frac{5}{6} \times \frac{1}{9} = \frac{5}{54}$ .
These cannot both happen, so add: $\frac{8}{54} + \frac{5}{54} = \frac{13}{54}$ , option B.

Report a problem with this question