Answer to Question #340100 in Statistics and Probability for Uya

Question

After graduating with a BCom degree, Tim had interviews with two companies A and B

Suppose that there is a 20% chance that he will be offered the job by company A and a 15%

chance that he will be offered a job with company B. Suppose that each company is unaware

that he has had an interview with the other company. What is the probability that he will be

offered a job by exactly one of the companies? (answer to 2 decimal places):

Answer 1

$$P(exactly\ one)=P(A\cap B^C)+P(A^C\cap B)$$

$$=0.2(1-0.15)+(1-0.2)(0.15)=0.29$$