Question: A construction company has bid on two contracts. The probability of winning contract A is .3. If the company wins contract A, then the probability

A construction company has bid on two contracts. The probability of winning contract A is .3. If the company wins contract A, then the probability of winning contract B is .4. If the company loses contract A, then the probability of winning contract B decreases to .2. Find the probability of the following events.

a. Winning both contracts

b. Winning exactly one contract

c. Winning at least one contract

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