Events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1)=0.1, P(A2)=0.1, P(A3)=0.8.

If E is an event in S with P(E|A1)=0.3, P(E|A2)=0.3, P(E|A3)=0.6, compute
P(E)=
P(A1|E)=
P(A2|E)=
P(A3|E)=

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