Question: Problem 4 A general contractor has submitted bids for two projects: A and B. The probability of getting project A is 0.60 . The probability

Problem 4

A general contractor has submitted bids for two projects: A and B. The probability of getting project A is 0.60. The probability of getting project B is 0.75. The probability of getting at least one of the projects is 0.85.

(a) What is the probability that the contractor will get both projects?

(b) Are the two events (getting project A, getting project B) mutually exclusive? Explain using probabilities?

(c) Are the two events (getting project A, getting project B) independent? Explain using probabilities?

(d) If the contractor gets project A, what is the probability that he/she will get project B?

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