Question

the manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5 percent chance that a customer buy apples and carrots, and a 17 percent chance that a customer buys apples or carrots.

what is the probability of a customer buying carrots?

1.4 percent
5.0 percent
10.0 percent
11.4 percent

Explanation:

Define the events and given probabilities

Using the Probability Addition Rule knowledge point
Let \(A\) be the event that a customer buys apples, and \(C\) be the event that a customer buys carrots.

$$
LATEXBLOCK0
$$

Apply the probability addition formula

Using the Probability Addition Rule knowledge point

$$
LATEXBLOCK1
$$

Answer:

• 1.4 percent
• 5.0 percent
• 10.0 percent (Correct answer)
• 11.4 percent