Your quick sketches are better than anything I ever could do.
I'm not sure what you mean by the second part.
But I wanted to let you know that you have good art skills!

A doesn't know whether he has a black hat or a red hat, and he can't see those of the other two. B can see A's hat, but he doesn't know which hat he wears. As knowing the color of one hat is insufficient to conclude a hat color, he can't say anything. C can see both of their hats, and knows the dist...