[15 pts 7.5 pts each] A Starburst candy package contains 12 individual candy pieces. Each piece is equally likely to be berry, orange, lemon, or cherry, independent of all other pieces. a. What is the probability that the package contains 2 berry, 4 orange, 3 lemon, and 3 cherry pieces? b. If the first 11 pieces from a package are all cherry, what is the probability that the remaining piece is cherry?.