A gambler has 4 packs of cards, each of which is well shuffled and has equal numbers of red, green and blue cards. For each turn he pays 2$ and draws a card from each pack. He wins 3$ if he gets 2 red cards, 5$ if he gets 3 red cards and 10$ if he gets 4 red cards. Let the random variable X represent how much the gambler earned and Y represent the number of blue cards chosen. Find the joint distribution of X and Y.