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The probabilities that Atta and Tunde will hit a target in a...

The probabilities that Atta and Tunde will hit a target in a shooting contest are 16 and 19 respectively. Find the probability that only one of them will hit the target.

A.

154

B.

4154

C.

2027

D.

1354

Correct answer is D

P(A)=16,P(T)=19

Probability that only one of them will hit the target = P(A)×P(ˉT)+P(ˉA)×P(T)

Where P(ˉT) is the probability that Tunde will not hit the target and P(ˉA) is the probability that Atta will not hit the target

P(ˉT)=119=89

P(ˉA)=116=56

Pr(only one) =(16×89)+(56×19)=427+554

pr (only one) = \frac{13}{54}