A soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. The probability that each bottle cap reveals a prize is 0.2 and winning is independent from one bottle to the next. What is the probability that a customer must open three or more bottles before winning a prize?
A) (0.2)(0.2)(0.8) = 0.032
B) (0.8)(0.8)(0.2) = 0.128
C) (0.8)(0.8) = 0.64
D) 1 - (0.2)(0.2)(0.8) = .968

Question

Quizplus · Accepted Answer

The probability of not winning a prize on the first and second tries is (0.8)(0.8) = 0.64, which means the customer must open three or more bottles before winning.

A Soft Drink Company Holds a Contest in Which a Prize