10
QuizMultiple Choice

Binomial Probabilities

Question 10 • NC-Math 4

A bottled water company runs a promotion in which 1 out of every 5 bottles has the word "Winner” printed under the cap. Winners receive a free bottle of water. A store owner notices that in the last 8 bottles of water purchased, 3 have been winners. What is the probability of getting 3 "Winner” caps on 8 bottles of water?

Answer
A
0.15
B
0.17
C
0.20
D
0.60

Explanation

Each bottle has a 0.20 chance of being a winner and a 0.80 chance of not being one. The probability of exactly 3 winners in 8 bottles is (8 choose 3)(0.20)^3(0.80)^5 = 0.1468, which rounds to 0.15. So the correct choice is 0.15.

AI-written and checked against the verified answer.