1. The problem statement, all variables and given/known data What is the probability of drawing a full house from a standard deck (52). 2. Relevant equations 3. The attempt at a solution These are the two answers I came up with: (52/52) * (3/51) * (2/50)* (48/49) * (3/48) * 5C3 * 5C2 = 0.0144~ or (52/52) * (3/51) * (2/50)* (48/49) * (3/48) * 5C3 = 0.00144~ The second answer is the correct one. I know you multiply by 5 choose 3 because there are three matching cards that you need to select out of five spots. But what about the pair? Do I need to multiply by 5 choose 2? The simulation on Wolframalpha comes up with a probability that is close to my second answer.(The correct one).