Question

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? percent

Answer 1

the answer is 3 percent.. hope that helps

Answer 2

Answer: Probability of a chain defect is 3%.

Explanation:

Let B be the event that brake defect .

Let C be the event that chain defect.

Since we have given that

Probability of a brake defect P(B) = 4%

Probability of both chain and brake defect P(B∩C) = 1%

Probability of either brake or chain defect P(E∪C) = 6%

So, we need to find the probability of a chain defect.

As we know the rule of probability.

`P(B\cup C)=P(B)+P(C)-P(B\cap C)\\\\6=4+P(C)-1\\\\6=3+P(C)\\\\3=P(C)`

Hence, Probability of a chain defect is 3%.