Puzzle

... “Good grief, Holmes, you look terrible,” Watson informed his companion. “I haven't seen anyone look so bad since tending to troops in Afghanistan. Has Mycroft been sending you his tiresome probability problems?” “It's worse than that, Watson,” replied Holmes. “This particular puzzle is the product of a diseased mind. Someone who delights in the pain of others. Someone with a mathematics degree.” “You don't mean…!?” “Yes, I do, Watson. None other than the Prince of Crime himself: Professor James Moriarty.” “Oh, dear! You'd better read it to me, Holmes.” “I have taken a number of playing cards (more red than black) from a pack of 52 cards and distributed them in a certain way in two piles, each containing both red and black cards. “A card is taken at random from the smaller pile and placed in the larger pile. The larger pile is shuffled and a card is taken from it and placed in the smaller pile.