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?

1.5 percent
2 percent
2.5 percent
3 percent

Explanation:

Define the given probabilities

Using the Probability Addition Rule knowledge point

$$
LATEXBLOCK0
$$

Set up the addition rule formula

Using the Probability Addition Rule knowledge point

$$ P(B \cup C) = P(B) + P(C) - P(B \cap C) $$

Solve for the probability of a chain defect

Using the Probability Addition Rule knowledge point

$$
LATEXBLOCK1
$$

Answer:

• 1.5 percent
• 2 percent
• 2.5 percent
• 3 percent (Correct answer)