SOLUTION: There are 150 people at a play. Ninety are women, and 60 are men. Half are sitting in the lower level, and half are sitting in the upper level. There are 35 women sitting in the up

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Question 852796: There are 150 people at a play. Ninety are women, and 60 are men. Half are sitting in the lower level, and half are sitting in the upper level. There are 35 women sitting in the upper level. A person is selected at random for a prize. What is the probability that the person is sitting in the lower level, given that the person is a woman? Is the event "person is sitting in the lower level" independent of the event "person is a woman"? Explain.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

P(lower Level) = 1/2

p(woman in lower level) = 55/150

P(A|B) = P(A and B)/P(B)

P(lower level|woman) = ++%2855%2F150%29%2F%2890%2F150%29+=+55%2F90