Answer the question.
-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) 0.333
B) 0.125
C) 0.25
D) 4

Question

Quizplus · Accepted Answer

Since the apple is hanging, we can consider it as a sphere. If we divide the sphere into two hemispheres, the probability that the first fly lands in one hemisphere is 1/2. The second fly also has a probability of 1/2 of landing in the same hemisphere as the first fly. Similarly, the third fly has a probability of 1/2 of landing in the same hemisphere as the first two flies. Therefore, the probability that all three flies are on points that are within the same hemisphere is (1/2) x (1/2) x (1/2) = 1/8. However, there are two hemispheres where the flies can land, so we need to double the probability to get 1/4, which is answer choice C.

Answer the Question. -If an Apple Is Hanging from a String and Three