A family that owns two cars is selected at random. Let A = {the older car is American} and B = {the newer car is American}. If P(A) = 0.7, P(B) = 0.5, and P(A intersection B) = 0.4, compute the following:
a) The probability that at least one car is American.
b) The probability that neither car is American.
c) The probability that exactly one of the two cars is American.