suppose candidate A receives 54% of the entire vote, but only 48% of the female vote. A voter is selected at random for an interview. What is the probability that the voter is a woman who voted for candidate A?
You can write a formula involving the population of voters.
where the subscript "A" indicates those who voted for Candidate A.
Different populations of men and women give different results..
For instance, if there were 100 men and 100 women
then
but
If we change the number of men, the probability will change.
If we change the number of women, the probability will change.