1. Three cards are drawn without replacement from the 12 face cards (jacks, queens and kings) of an ordinary deck of 52 playing cards. Let X be the number of kings selected and Y the number of jacks selected.

a) The joint probability distribution function (show in a joint probability table)

b) The probability of getting 2 jacks and 1 king

c) The probability of getting 1 jack, regardless of the number of kings

d) The probability of getting a jack and a queen given 1 king is selected