An person has applied for positions at Company A, Company B, and Company C. The probability of obtaining an offer from Company A is 0.4, from Company...

An person has applied for positions at Company A, Company B, and Company C. The probability of obtaining an offer from Company A is 0.4, from Company B is 0.3, and from Company C is 0.6. Assume that the three job offers will be independent.

a. What is the probability that the person will receive job offers from all three companies?

b. What is the probability that the person will receive a job offer from Company B only?

c. What is the probability that the person will receive a job offer from at least one of the three companies?

d. What is the probability that the person will receive exactly one job offer from the three companies? Hint: Construct a tree diagram