Question 29

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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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