Do what? Confidently name the “official” hypothesis, guess teacher’s password? There certainly are good hypotheses, possibly one hypothesis significantly better than any other, which makes the probability of privileging the one you had in mind non-trivial and thus explains your observations. It doesn’t follow that it’s correct to assign high level of certainty to that hypothesis (as a within-world event, not prediction about what you had in mind, as the latter would be biased towards the best guess and away from the long tail).
(My best guess in this particular case is “enable time turners (in some sense)”, but I won’t be confident it’s indeed so, it could be something else. ETA: On reflection, “revealing if someone is already in the room” is a better guess, although one could sidestep the defenses by entering from the future as well as from the past, and so not be present at the time of the casting.)
Do what? Confidently name the “official” hypothesis, guess teacher’s password? There certainly are good hypotheses, possibly one hypothesis significantly better than any other, which makes the probability of privileging the one you had in mind non-trivial and thus explains your observations. It doesn’t follow that it’s correct to assign high level of certainty to that hypothesis (as a within-world event, not prediction about what you had in mind, as the latter would be biased towards the best guess and away from the long tail).
(My best guess in this particular case is “enable time turners (in some sense)”, but I won’t be confident it’s indeed so, it could be something else. ETA: On reflection, “revealing if someone is already in the room” is a better guess, although one could sidestep the defenses by entering from the future as well as from the past, and so not be present at the time of the casting.)