1. Bowl Bi contains 2 white chips, bowl B2 contains 2 red chips, bowl Ba contains 2 white and 2 red chips, and bowl B4 contains 3 white chips and 1 red chip. The probabilities of selecting bowl B1, B2. B3, or B4 are 1/2. 1/4,1/8, and 1/8, respectively. A bowl is selected using these probabilities, and a chip is then drawn at random. Find (a) P(W), the probability of drawing a white chip (b) P(B1IW), the conditional probability that bowl Bi had been selected, given that a white chip was drawn