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An applicant applied for positions at company A and company B. The probability of getting an...

An applicant applied for positions at company A and company B. The probability of getting an offer from company A is 0.8, and the probability of getting an offer from company B is 0.5. Assuming that the two offers are independent, what is the probability that the applicant will get exactly one offer?

Math   Statistics-And-Probability   
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Answer #1

Solution: We are given that the probability that an applicant getting an offer from company A is 0.8.

The probability that an applicant not getting an offer from company A is 1-0.8=0.2

The probability that an applicant getting an offer from company B is 0.5

The probability that an applicant not getting an offer from company B is 1-0.5=0.5

Therefore, the probability that the applicant will get exactly one offer is:

P(exactly one offer) = (P(getting an offer at company A) x P(not getting an offer at company B))+ (P(not getting an offer at company A) x P(getting an offer at company B))

Therefore, the probability that the applicant will get exactly one offer is 0.5

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