waecmaths question:
The probabilities that kebba, Ebou, and Omar will hit a target are $\tfrac{2}{3},\tfrac{3}{4}$and $\tfrac{4}{5}$ respectively. Find the probability that only Kebba will hit target
Option A:
$\tfrac{2}{5}$
Option B:
$\tfrac{7}{60}$
Option C:
$\tfrac{1}{30}$
Option D:
$\tfrac{1}{60}$
waecmaths solution:
$\begin{align} & P(Kebba)=\frac{2}{3} \\ & P(Ebou)=\frac{3}{4},\text{ }P(E')=1-\frac{3}{4}=\frac{1}{3} \\ & P(Omar)=\frac{4}{5},P(O')=1-\frac{4}{5}=\frac{1}{5} \\ & P(K\cap E'\cap O')=\frac{2}{3}\times \frac{1}{4}\times \frac{1}{5}=\frac{1}{30} \\\end{align}$
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