Need help understanding Bayes' Rule

S3 Ai A2 67 85 80 79 50 State of Nature Alternative Si S2 Avg 112 -26 51 82 101 89.33 A3 85 72 A4 -50 90 110 Above is the payoff table from Problem 2 (profits in thousands of dollars) si 0 23 136 A2 3059 A3 27 18 30 A4 162 O Above is regret table from Problem 2 S2 S3 1 USE 2 ABOVE TABLES TO SOLVE Problem 3 Suppose that the probabilities for the states of nature in Problem 2 above are P(Si) = 0.6, P(S2) = 0.2, and P(S3) = 0.1. a) Which alternative should be selected under Bayes Rule? b) What is the expected value of perfect information for this decision