Final answer:
The question does not provide enough information to determine the probability that neither student is wearing a college shirt, thus the closest to the correct answer given the choices would be 'Cannot be determined'.
Step-by-step explanation:
The question does not provide enough information to calculate the probability that neither student is wearing a college shirt.
To calculate this probability, we would need the proportion of students who are wearing college shirts and those who are not. Assuming that the entire student body had equal chances of wearing or not wearing a college shirt, we could apply basic principles of probability. However, without specific data, we cannot determine a numerical probability. We can determine probabilities for other scenarios provided. For example, randomly choosing a student that does not live within five miles of the campus has an 80 percent chance according to the reference information.
In the case of determining the probability that a student guesses more than 75 percent of the questions correctly on a multiple-choice exam with three possible choices per question, we could use binomial or normal approximation methods. However, for this specific question about the principal and the college shirts, there isn't enough data to give an accurate answer. Therefore, the most likely answer from the given choices would be 'Cannot be determined'.