When an experiment is conducted, one and only one of three mutually exclusive events 1 S , 2 S , and 3 S , can occur, with P(S1 )=.2 , P(S2 )=.5 , and P(S3 )=.3 . The probabilities that an event A occurs, given that event S1 , S2 , or S3 has occurred are

If event A is observed, use this information to find the probabilities

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P(AS) 2 P(AS)=.1 P(A|S,)=.3