Let A1 and A2 form a partition of sample space S, with P(A1)=.4 and P(A2)=.6 Assume E is an event in S with P(E l A1)=.05 and P(E l A2)=.08 what would P(E) equal? and what would P(A1 l E) equal?

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Originally Posted by letsbeclichex Let A1 and A2 form a partition of sample space S, with P(A1)=.4 and P(A2)=.6 Assume E is an event in S with P(E l A1)=.05 and P(E l A2)=.08 what would P(E) equal? and what would P(A1 l E) equal? P(E)=P(E|A1)P(A1)+P(E|A2)P(A2) P(A1|E)=P(E|A1)P(A1) / [P(E|A1)P(A1) + P(E|A2)P(A2)]