It costs $7 to play a very simple game, in which a dealer gives you one card from a deck of 52 cards. Note that there are 4 suits (heart, spade, diamond, clover) and 13 ranks (Ace, 2, 3, , 10, Jack, Queen, King) in a deck of 52 cards. If the card is a heart, spade, or diamond, you lose. If the card is a clover other than the queen of clovers, you win $13. If the card is the queen of clovers, you win $52. The random variable X represents your net gain from playing this game once, or your winnings minus the cost to play. What is the mean of X