Susie is looking for butterflies in an area where: 25% of the butterflies are of type A 30% of the butterflies are of type B 45% of the butterflies are of type C Suppose that she spots two butterflies on her walk, and that the types of the two butterflies are independent from each other (perhaps because they are spotted in different locations). (a) What is the probability that the two butterflies she spots will both be type A butterflies?(b) What is the probability that the two butterflies she spots will be of the same type?
(c) What is the probability that neither of the two butterflies she spots will be type C butterflies?