Playing cards

Let a card be selected from an ordinary deck of playing cards. The outcome c is one of these 52 cards. Let  if c is an ace, let  if c is a king, let  if c is a queen, let  if c is a jack, and let otherwise. Suppose that P assigns a probability of  to each outcome c. Describe the induced probability  on the space D = 0, 1, 2, 3, 4 of the random variable X.