A company is participating in a bidding for two government contracts. A manager of the company estimates that there is a 40% chance that the company will win the bidding for the first contract, a 30% chance for the second contract, and a 20% chance for the both contracts. (a) What is the probability the company will win the bidding for the first contract only? For the second contract only? (b) What is the probability the company will win the bidding for at least one contract?