Consider a Poker game where an opponent tells you that the five cards she or he holds (and which you cannot see) represent a hand that beats 60% of all other possible hands. (If you aren't that familiar with Poker, a quick web search will help you understand the relationships between terrible and excellent poker hands -- with better hands having lower probability)

Discuss how you would use that knowledge, along with the Hypergeometric Distribution, to correctly identify the hand your opponent is holding. Be very specific in describing your step by step approach to solving the problem. Exactly what probabilities would you be calculating, in what order, and why? How accurate can you be, and why can't you be more accurate than that?