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Events A1, A2, and A3 form a partiton of sample space S with Pr(A1)=27, Pr(A2)=47, and...

Events A1, A2, and A3 form a partiton of sample space S with Pr(A1)=27, Pr(A2)=47, and Pr(A3)=17.  E is an event in S with Pr(E|A1)=35,  Pr(E|A2)=25, and Pr(E|A3)=15.

What is Pr(E)?   

What is Pr(A1|E)?   

What is Pr(E′)?   

What is Pr(A′1|E′)?   
Enter your answers as whole numbers or fractions in lowest terms.

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