Dilemma 1. Suppose the results of a final exam revealed very high grades for the students. How do you know which one of the following possibilities is true?
Dilemma 2. Now, consider a different situation in which the final exam revealed very low grades for the students. How do you know which one of the following possibilities is true?
Perhaps the objective answer depends on the circumstance. However, I strongly believe that, no matter the circumstance, a professor should never choose the 4th answer and a student should never choose the 1st one.