For my example I chose a deck of UNO cards, because of the composition of the deck I thought this would be more interesting. My example below is not representative of gameplay, I only used it to get away from the basic 52 card calculation. Example: A deck of UNO cards has 108 cards, 25 of each color (red, blue, green, and yellow), 4 wild cards and 4 draw 4 cards. No replacement: Randomly selecting 4 cards, what is the probability that you would select 4 red cards. Replacement: What is the probability of drawing 4 red cards assuming the first ones were replaced