An aerospace company has submitted bids on two separate federalgovernmentdefense contracts, AandB . The company feels that it has a 60% chance of winningcontract Aand a 30% chance of winning contractB . If it wins contractB , it believesthat it has an 80% chance of winning contract A.

a) Are the events of winning contract A and winning contract B independent? Explain. b) What is the probability that the company will win both contracts?

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c) Are the events of winning contract A and winning contract B mutuallyexclusive? Explain.d) What is the probability that the company will win at least one of the contracts? e) What is the probability that the company will win neither contract? f) What is the probability that the company will win contract A but not contractB ? g) If the company wins contract A, what is the probability that it will win contractB ? h) If the company wins contractB , what is the probability that it will not win contract A? i) If the company does not win contract A, what is the probability that it will win contract B ?