Bailey’s Irish Cream Chocolate Pudding In a large bowl, mix one large box of instant chocolate pudding with 3/4 cup Bailey’s and 1/4 cup vanilla vodka. Stir together until combined. Fold in one container of Cool Whip. Stir until combined. Spoon into individual containers with lids, you can get these at the liquor store. This recipe makes about 16 pudding shots.