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

Answer 1

Answer:

The probability of a customer buying carrots is 5 percent.

Step-by-step explanation:

Given that the grocery store manager reports that there is a 12% chance that the consumer will buy apples during their stay in the store, a 5% chance that they will buy apples and carrots, and a 17% chance that they will buy apples. or carrots, to determine the chances that this consumer buys only carrots we must make the following reasoning:

-Since there is a 12% probability of buying apples, and 17% of buying apples or carrots, the difference between the two should be the probability of people buying carrots only: that probability would be 5%, which in turn it is the percentage of chances that the consumer buys both vegetables.

Therefore, the chances of a consumer buying carrots at the store is 5%.

Answer 2

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