Problem:
Texas hold 'em. In the popular Texas hold 'em variety of poker, players make their best five-card poker hand by combining the two cards they are dealt with three of five cards available to all players. You read in a book on poker that if you hold a pair (two cards of the same rank) in your hand, the probability of getting four of a kind is 2/245.
Required:
1. Explain carefully what this means. In particular, explain why it does not mean that if you play 245 such hands, exactly 2 will be four of a kind.