A gambler throws a die and tells the score. He tells truth 3/4 of the times that he speaks and randomly lies 1/4 of the times that he speaks. If he says it is a six, what is the probability that he actually got a six?
It appears that the probability of 3/4 is as close as we can get, since the concept of "randomly lies" is not defined, and is not clearly a complete disjunction with "he tells the truth..." Perhaps it means that he speaks randomly 1/4 of the time (in which case he will sometimes speak an accurate statement by inadvertence). Perhaps it means that he deliberately lies 1/4 of the time. What is our probability of deciding (correctly) what the question means?