What do you mean by half the prisoners? Let's start there.
What do you mean by half the prisoners? Let's start there.
How about I choose a prisoner at random from among all the prisoners in the problem. What is the probability that the prisoner I have chosen has correctly stated the color of the hat on his head? In particular, is that probability more than, less than, or equal to 0.5?
While we are in the neighborhood, if there is a prisoner who is more likely to get the answer correctly than not, if you could tell me what ihis step by step process of forming his answer is, in detail similar to "if he is ...
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.