An analyst has predicted the following returns for Stock A and Stock B in three possible states of the economy. State Probability A B Boom 0.3 0.15 0.25 Normal 0.5 0.10 0.20 Recession ? 0.02 0.01 a. What is the probability of a recession? b. Calculate the expected return for Stock A and Stock B. c. Calculate the expected return for a portfolio that is invested 55% in A and 45% in B. Suppose you have an urn of ten marbles, of which five are red and five are green. If you draw two marbles from this urn, what is the probability that both marbles are red? What is the probability that at least one of the marbles is red