SOLUTION: In a recent election there were 1000 eligible voters. They were asked to vote on two issues, A and B. The results were as follows: 300 people voted for A, 550 people voted f

Algebra ->  Probability-and-statistics -> SOLUTION: In a recent election there were 1000 eligible voters. They were asked to vote on two issues, A and B. The results were as follows: 300 people voted for A, 550 people voted f      Log On


   



Question 1032917: In a recent election there were 1000 eligible voters. They were asked to vote on two issues, A and B. The results were as follows: 300 people voted for A, 550 people voted for B, and 75 people voted for A and B. If one person is chosen at random from the 1000 eligible voters, find the following probabilities:
1. The person voted for A, given that he voted for B.

2. The person voted for B, given that he voted for A.


Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Here, P(A) = 300/1000, P(B) = 550/1000, and P(A & B) = 75/1000
==> P(A|B) = P(A&B)/P(B) = %2875%2F1000%29%2F%28550%2F1000%29+=+3%2F22, and

==> P(B|A) = P(A&B)/P(A) = %2875%2F1000%29%2F%28300%2F1000%29+=+1%2F4.