A biologist finds that 32% of fruit flies have short wings and 27% have eye defects. Assuming these two events are independent, what is the probability that a randomly selected fruit fly has neither short wings nor eye defects?

Question

A biologist finds that 32% of fruit flies have short wings and 27% have eye defects.  Assuming these two events are independent, what is the probability that a randomly selected fruit fly has neither short wings nor eye defects?

Steve · Answer

P(~short) = .68 P(~defect) = .73 P(~short ^ ~defect) = .68 * .73 = .49