Question

A couple appears in an interview for two vacancies in the same post. The probability of husband’s selection 1 7 and the probability of ****’s selection is 1 5 . What is the probability that (a) both of them are selected (b) only one of them will be selected (c) none of them will be selected (d) **** only is selected. Select the correct answer from above options

Answer 1

Given P(Husband is selected) = P(H) = 1 7 1 P(H') = 1 - 1 7 1 = 6 7 6 P(**** is selected) = P(W) = 1 5 1 P(W') = 1 - 1 5 1 = 4 5 4 (a) P(both are selected) = P(HW) = P(H).P(W) = 1 7 1 . 1 5 1 = 1 35 1 (b) P(only one of them will be selected) =P(HWHW) = P(H).P(W1)+ P(F1’)P(W) (c) P(None of them will be selected) = P(H’ W’) = P(H’)P(W') = 6 7 6 . 4 5 4 = 24 35 24 (d) P(**** only is selected) = P(W H’) = P(W) . P(H’) = 1 5 1 . 6 7 6 = 6 35 6