In Texas Hold’em, each player is dealt two cards from the deck.Obviously, this is done without replacement, so you cannot use thebinomial distribution. You can use the hypergeometric distributionor reason from first principles.
a) What is the probability of being dealt a pair? Express it asan exact fraction and an approximate percentage.
b) If you are dealt two unpaired cards, say the ace of clubs andthe 8 of diamonds, what is the chance of getting a pair or betteron the flop? The flop is three cards dealt all at once, and we wantto know the chance that the flop will contain at least one ace orat least one 8.
