Poker. Hands at poker (see Example 3.4) are classified in the following categories: a one pair is a hand containing two cards of the same rank and three cards of disparate ranks in three other ranks; a two pair contains a pair of one rank, another pair of another rank, and a card of rank other than that of the two pairs; a three-of-a-kind contains three cards of one rank and two cards with ranks differing from each other and the rank of the cards in the triple; a straight contains five cards of consecutive ranks, not all of the same suit; a flush has all five cards of the same suit, not in sequence; a full house contains three cards of one rank and two cards of another rank; a four-of-a-kind contains four cards of one rank and one other card; and a straight flush contains five cards in sequence in the same suit. Determine their probabilities.