1. A company that designs database systems has submitted bids on two contracts for two different companies, Contract A and Contract B. The company feels that it has a 65% chance of winning contract A and a 35% chance of winning contract B. If it wins contract B, it believes that 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? C. Are the events of winning Contract A and winning Contract B mutually exclusive? 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 Contract B? G. If the company wins Contract A, what is the probability that it will win Contract B?