A shipment of nine calculators contains eight defective calculators.Three calculators are chosen from the shipment.Find the probability that exactly one is defective.

Question

Quizplus · Accepted Answer

First, we need to find the probability of choosing one defective calculator and two non-defective calculators.

Probability of choosing one defective calculator: 
8/9 * 1/8 * 7/7 = 1/9

Probability of choosing two non-defective calculators: 
1/9 * 7/8 * 6/7 = 7/36

Since there are three different ways we can choose which calculator is defective, we need to multiply the above probability by 3.

Probability of choosing exactly one defective calculator: 
3 * 1/9 * 7/36 = 7/108

Therefore, the correct answer is B.

A Shipment of Nine Calculators Contains Eight Defective Calculators