Please provide a detailed explanation:

An aerospace company has submitted bids on two separate federal government defense contracts. The company president believes that there is a 45% probability of winning the first contract. If they win the first contract, the probability of winning the second is 50%. However, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 41%.

What is the probability that they win at least one of the contracts? What is the probability that they win the second contract?