i first asked, "what is the probability of getting all faces of a die when rolled six times?" ChatGPT answered with a long explanation, "(1/6) * (5/6) * (4/6) * (3/6) * (2/6) * (1/6) = (1/6)^6 = 0.0000213." this is wrong and inconsistent. the correct answer is 6!/6^6 = 0.0154....