I tried to set this straight in my comment. Charlie does not get to choose the fruit, the fruit is chosen at random. I just allowed Charlie to make the choice t

I tried to set this straight in my comment. Charlie does not get to choose the fruit, the fruit is chosen at random. I just allowed Charlie to make the choice to emphasize that the choice happens outside of the room. Had I just said the choice happens at random, then it would not be obvious why this random choice could not also be made in the room with Alice. But then we were back at Bob leaving the room with either an apple or a pear. Have I look at my other comment with coins in boxes [1], that picture captures the situation better and in a way that is not easily translated to fruits. [1] https://news.ycombinator.com/item?id=13981054 https://news.ycombinator.com/item?id=13981054