A husband and wife appear in an interview for two vacancies for the same post. The probability of the husband's selection is 1 7 and that of wife's selection is 1 5 . If the events are independent, then the probability of which one of the following is 11 35 ?

Step-by-step solution

Probability for Husband's selection P(H)= 1 7 Probability when Husband is not selection P (H^ )=1- 1 7 = 6 7 Probability for wife's selection P(W)= 1 5 Probability when Wife is not selected P (W^ )=1- 1 5 = 4 5 As both are independent event. So, probability for atleast one of them will be selected =P(H) P (W^ )+P (H^ ) P(W)= 1 7 4 5 + 6 7 1 5 = 11 35