SOLUTION: Suppose that E and A are events in the sample space S. Suppose P(E|A)= 1/3 and P(E|A')=1/3. Is it necessarily true that P(E)=1/3? If yes, justify algebraically. If no, find sample

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that E and A are events in the sample space S. Suppose P(E|A)= 1/3 and P(E|A')=1/3. Is it necessarily true that P(E)=1/3? If yes, justify algebraically. If no, find sample       Log On


   



Question 1029575: Suppose that E and A are events in the sample space S. Suppose P(E|A)= 1/3 and P(E|A')=1/3. Is it necessarily true that P(E)=1/3? If yes, justify algebraically. If no, find sample space S and events A and E that satisfy P(E|A)= 1/3 and P(E|A')=1/3 and P(E) =/= 1/3.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Yes - . Using the given facts, this simplifies to .