AnswersFall 24 GMS Geometry Concepts and Connections BIndependent and Mutually Exclusive EventsQuestion 6
6
QuizMultiple Choice

Independent and Mutually Exclusive Events

Question 6 • Fall 24 GMS Geometry: Concepts and Connections B

A bicycle manufacturer is studying the reliability of one of its models. The study finds that the probability of a brake defect is 4 percent and the probability of both a brake defect and a chain defect is 1 percent.If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect?

Answer
A
1.5 percent
B
2 percent
C
2.5 percent
D
3 percent

Explanation

Use the addition rule: P(brake or chain) = P(brake) + P(chain) − P(both). Substituting the given probabilities gives 6% = 4% + P(chain) − 1%, so P(chain) = 3%. The correct choice is 3 percent.

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