Question

A well-known folk legend. On the night before the big chemistry exam, two students were partying all night -- and over slept the exam. Their excuse to the professor was that they were driving from some friends who lived far away and had a flat tire; could they please take a make-up exam. The professor agreed. She wrote an exam and put them in different rooms to take it. The first question, worth 5 points, was easy. The second question, on the other side of the page was worth 95 points. It simply asked, "Which tire was it?".
What is the probability that both students would give the same answer?

Answer 1

Since the second question is worth 95 points, it is likely that the professor expected that students would spend a significant amount of time and effort on it. Since the two students were partying all night and overslept the exam, it is unlikely that they would have spent any time studying for the exam and would have little to no knowledge of the material. Therefore, it is highly unlikely that the two students would give the same answer to the second question.

Furthermore, even if the two students did happen to give the same answer to the second question, it is unlikely that they would both give the correct answer. Since they had no knowledge of the material and did not study for the exam, it is unlikely that they would be able to answer the question correctly by chance.

Therefore, the probability that both students would give the same answer to the second question is very low.