The probability that A hits a target is 1/3 and the probability that B hits it is 2/5 If each one of A and B shoots at the target,

Question

The probability that A hits a target is \(\frac{1}{3}\) and the probability that B hits it is \(\frac{2}{5}\) If each one of A and B shoots at the target, what is the probability that 

i. the target is hit? 

ii. exactly one of them hits the target?

Answer 1

Let P(A) = Probability that A hits the target = \(\frac{1}{3}\)

P(B) = Probability that B hits the target = \(\frac{2}{5}\)

i. P(target is hit) = P(at least one of A, B hits)

ii. P(exactly one of them hits)