Question

1. A chartered Accountant applies for a job in two firms X and Y. He estimates that the probability of his being selected in firm X is 0.7 and being rejected in Y is 0.5 and the probability that atleast one of his applications rejected is 0.6. What is the probability that he will be selected in one of the firms?

Answer 1

Answer on Question #38729, Math, Statistics and Probability

A chartered accountant applies for a job in two firms X and Y. He estimates that the probability of his being selected in firm X is 0.7 and being rejected in Y is 0.5 and the probability that at least one of his applications rejected is 0.6. What is the probability that he will be selected in one of the firms?

Probability that he will be selected should be calculated by multiplying probability that he will be selected by Firm X with general probability that he will be accepted and sum it with multiplying probability that he will be selected by Firm Y with general probability that he will be accepted

Probability that he will be selected in one of the firms is $0.4*0.7+0.4*0.5=0.28+0.2=0.48$