PUBLIC MARKS with tag entropy

There is a popular game called twenty questions that works like this. One person is the "Knower" and picks a point out of the probability space of all objects (thinks of an object). The other is the "Guesser" and asks the Knower to evaluate various random variables (questions) at that point (answer the questions of the object). The Guesser wins if he can guess the object the Knower is thinking about by asking at most twenty questions.