Three players play a game in which they take turns and draw cards from an ordinary deck of 52 cards, successively, at random and with replacement. Player I draws cards until an ace is drawn. Then...

Three players play a game in which they take turns and draw cards from an ordinary deck of 52 cards, successively, at random and with replacement. Player I draws cards until an ace is drawn. Then player II draws cards until a diamond is drawn. Next, player III draws cards until a face card is drawn. At that point, the deck will be given to player I and the game continues. Determine the long-run proportion of cards drawn by each player.