If an apple is hanging from a string and three flies land on it, find the probability that all three are on points that are within the same hemisphere.
A) 0.25
B) 0.125
C) 4
D) 0.333

Question

Quizplus · Accepted Answer

There are 2 hemispheres, so the probability that the first fly lands on the same hemisphere as the apple is 1/2. The probability that the second fly lands on the same hemisphere as the apple and the first fly is 1/2, and the probability that the third fly lands on the same hemisphere as the apple, the first fly, and the second fly is 1/2. So the probability that all three flies land on the same hemisphere is (1/2) * (1/2) * (1/2) = 1/8 = 0.125.

If an Apple Is Hanging from a String and Three