This problem involves drawing three cards from a deck of cards. Assume that the deck contains 3 aces, 8 other face cards, and 13 non-face cards, and that you randomly draw 3 cards. A random variableis defined to be 4 times the number of aces plus 3 times the number of other face cards drawn.

How many different values are possible for the random variable? And what are their probability of each of them?