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

The probability of a customer buying carrots is 11.4 percent.

We can use the following formula to calculate the probability of event A happening given that event B has already happened:

P(A | B) = P(A and B) / P(B)

Where:

P(A | B) is the probability of event A happening given that event B has already happened

P(A and B) is the probability of both event A and event B happening

P(B) is the probability of event B happening

In this case, event A is buying carrots and event B is buying apples or carrots.

We know that the probability of buying apples or carrots is 17 percent. We also know that the probability of buying apples and carrots is 5 percent. Therefore, the probability of buying carrots is:

P(carrots) = P(carrots and apples or carrots) / P(apples or carrots) = 5 percent / 17 percent = 11.4 percent

Therefore, the answer is d. 11.4 percent.

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Answer:

C. 10.0 percent

Step-by-step explanation:

P(A) = 0.12

P(A\cap C)=0.05

P(A\cup C)=0.17=P(A)+P(C)-P(A\cap C)

0.17=0.12+P(C)-0.05

P(C)=0.17-0.12+0.05=0.10