Question: Poker. Deal a five-card poker hand from a shuffled deck. The probabilities of several types of hand are approximately as follows:
Hand: Worthless One pair Two pairs Better hands
Probability: 0.50 0.42 0.05 ?
(a) What must be the probability of getting a hand better than two pairs?
(b) What is the expected number of hands a player is dealt before the first hand better than one pair appears? Explain how you would use simulation to answer this question, then simulate just 2 repetitions.