When an experiment is conducted, one and only one of three mutually exclusive events S1, S2, and S3 can occur, with P(S1) = 0.3,

P(S2) = 0.5,
and
P(S3) = 0.2.
The probabilities that a fourth event A occurs, given that event S1, S2, or S3 has occurred, are
P(A|S1) = 0.3 P(A|S2) = 0.1 P(A|S3) = 0.2.
If event A is observed, find
P(S3|A).
(Round your answer to four decimal places.)
P(S3|A) =