Texas Hold ‘Em is a classical card game. In this problem, we are concerned with determining the probability of attaining a certain type of hand.
A “Full House” is a five card hand comprised composed of two sets: a set of three of a kind, and a set of two of a kind. Examples include: K-K-K-Q-Q, 10-10-10-5-5, and A-A-A-4-4.
Assuming that there are 52 cards in a unique, distinguishable deck, find the probability of attaining a “Full House” in any given hand. You may assume that there are 9 players playing on a full table.