I am having some trouble with this probability problem. In a presidential election, exit polls from Washington State provided the following results:
John Bush Not Employee(65%) 32% 68% Employee(35%) 61% 39%
If a randomly selected respondent voted for John, what is the probability that this person is an employee?
I thought of it as a conditional probability, where E denotes Employee, and J denotes John's votes. So P(E|J). And I found to be P(E|J)=P(EnJ)/P(J), where P(J)= The sum of the numbers in John's column; 32%+61%=93%=0.93
Is this a correct solution? And what did I understand wrong?