AnswersIntegrated Math II CR SUSD EXIndependent and Mutually Exclusive Events — QuizQuestion 10
10
QuizMultiple Choice

Independent and Mutually Exclusive Events — Quiz

Question 10 • Integrated Math II CR SUSD (EX)

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
2 percent
B
2 point 5 percent
C
1 point 5 percent
D
3 percent

Explanation

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

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