An aerospace company has submitted bids on two separate federal government defense contracts. The company president believes that there is a 44% probability of winning the first contract. If they win the first contract, the probability of winning the second is 66%. However, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 54%.
A. What is the probability that they win both contracts?
B. What is the probability that they lose both contracts?
C. What is the probability that they win only one contract?