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pls, help with this probability

Events A1, A2 and A3 form a partiton of sample space S with Pr(A1)=37, Pr(A2)=17, and Pr(A3)=37. 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(A3|E) ?


What is Pr(E′) ?


What is Pr(A′3|E′) ?
(edited 5 years ago)
Original post by collinswriters
(8 points) Events A1, A2 and A3 form a partiton of sample space S with Pr(A1)=37, Pr(A2)=17, and Pr(A3)=37. 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(A3|E) ?


What is Pr(E′) ?


What is Pr(A′3|E′) ?


Sorry, unfortunately you are not allowed to post full answers on TSR, only tips.
Original post by collinswriters
Events A1, A2 and A3 form a partiton of sample space S with Pr(A1)=37, Pr(A2)=17, and Pr(A3)=37. 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(A3|E) ?


What is Pr(E′) ?


What is Pr(A′3|E′) ?


If you could post your working/thinking so far and say what you're stuck with I'm sure someone will be along to help.

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