It is, strictly as written. The wording, both in the original article and the many rewrites, does not fully explain the problem as intended. The show host not o

It is, strictly as written. The wording, both in the original article and the many rewrites, does not fully explain the problem as intended. The show host not only knows where the prize is, but actively chooses never to reveal the door where the prize is. The reveal is not random. The reveal is a tell where the prize isn't! Worded more carefully, the answer is more intuitive, and this is probably why there was controversy surrounding it. The naming is taken from an actual game show, which perhaps confusingly seems to have been a third variant on the same problem, using more steps and trick monetary incentives to make fore more exciting viewing.