Final answer:
Without the individual probabilities of buying apples and carrots as well as the probability of buying both, it is impossible to provide the exact answer to the probability question.
Step-by-step explanation:
To calculate the probability that a customer buys either apples or carrots, but not both, we need to first know the individual probabilities of buying apples (P(A)) and carrots (P(C)), as well as the probability of buying both (P(A and C)). However, since the specific probabilities are not provided in the question, we can't calculate the exact probability from the given information.
If we had the probabilities, the formula for finding the probability of buying either apples or carrots, but not both (also known as the exclusive or), would be: P(A or C) = P(A) + P(C) - P(A and C). We would then compare the result to the options provided (A through E) to determine the correct answer.