Assume you have applied for two jobs a and

b. the probability that you get an offer for job a is 0.23. the probability of being offered job b is 0.20. the probability of getting at least one of the jobs is 0.35.

a. what is the probability that you will be offered both jobs?

b. are events a and b mutually exclusive? why or why not? explain.

Question

Mathematics

Kieran Knapp

1 March, 12:03

Assume you have applied for two jobs a and

b. the probability that you get an offer for job a is 0.23. the probability of being offered job b is 0.20. the probability of getting at least one of the jobs is 0.35.

a. what is the probability that you will be offered both jobs?

b. are events a and b mutually exclusive? why or why not? explain.

+4

Answers (1)

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Avah · Answer 1

a, P (A or B) = P (A) + P (B) - P (A and B)

... 0.35 = 0.23 + 0.30 - P (A and B)

... P (A and B) = 0.43 - 0.35

... P (A and B) = 0.08

b. If events A and B are mutually exclusive, P (A and B) = 0. Here, P (A and B) ≠ 0, so the events are not mutually exclusive.