A tire manufacturer truthfully advertises that "the average life of our new all-season radial tire is 100,000 kilometres." You purchase four of these tires. What is the probability that all four tires will wear out before traveling 100,000 kilometres?
A) 1/10 or 0.10
B) ¼ or 0.25
C) 1/16 or 0.0625.
D) 1/8 or 0.125
E) ½ or 0.50

Question

Quizplus · Accepted Answer

Assuming that the tires wear out independently of each other, the probability that one tire will wear out before traveling 100,000 km is 1/2 (since it either will wear out or it won't). Therefore, the probability that all four tires will wear out before traveling 100,000 km is (1/2)^4 = 1/16 or 0.0625, which is answer choice C.

A Tire Manufacturer Truthfully Advertises That "The Average Life of Our