The card game the inmates are playing at the beginning of the episode is Euchre, which is a popular card game in the Midwest. However it's shown incorrectly. A player is shown throwing a four of clubs. Euchre only uses the cards 9 and higher of each suit. The hint that it is Euchre is the layout and when the one player throws the Jack of diamonds and the other tells him that he "reneged", which is when a player doesn't follow suit during a hand.