Let a be an event that a person's primary method of transportation to and from work is an automobile and b be an event that a person's primary method of transportation to and from work is a bus. suppose that in a large city p(a) = 0.45 and p(b)= 0.35

a. are events a and b mutually exclusive ? what is the probability that a
person uses an automobile or a bus in going to and from work?

b. find the probability that a person's primary method of transportation
is some means other than a bus.