4.73 Bayes' Rule II If an experiment is conducted, one and only one of three mutually exclusive events S1, S2, and S3 can occur, with these probabilities: P(S) = 0.2 P(S2) = 0.5 P(S3)=0.3 The probabilities of a fourth event A occurring, given that event S1, S2, or S3 occurs, are P(A|S) = 0.2 P(A|S2) = 0.1 P(A|S3)=0.3 If event A is observed, find P(SA), P(SA), and P(SA).