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)0.333
D)4

Question

Quizplus · Accepted Answer

The probability that all three flies land within the same hemisphere of the apple is 0.25. This is because, regardless of where the first fly lands, the second and third flies must land within the same hemisphere as the first fly to satisfy the condition. The surface of the apple can be divided into two hemispheres with respect to the first fly's landing point. The probability that the second fly lands in the same hemisphere as the first is 1/2, and similarly, the probability for the third fly is also 1/2. Multiplying these probabilities gives 1/2 * 1/2 = 1/4 or 0.25.

If an Apple Is Hanging from a String and Three