Seven intrepid RHP-ers conene for an evening of entertainment. ChessNut supplies the snacks, Dr. Brain the beer, T1000 the humour and the glorified rodents, Kirksey the wisdom, Rwingett the raccoons with poker faces, Genius the music, and Rhymester the cards and the bears. They arrange themselves around a table, and Rhymester sets down a brand-new deck of cards, just out of the package. They are arranged in the standard manner. It is decided that Kirk deals. Upon recieving the cards, Kirk does not shuffle; as an Apostle and perfect adherent to tradition, he points out that on the first hand played with a new deck of cards, the cards are cut once and not shuffled. So he gives them to Genius to cut. Genius removes the top card (a 2 of clubs, since it is a brand-new deck), and places it on the bottom. Kirk then deals the first card to each of them, of course dealing himself last. He then deals a second card to each, but takes his from the bottom of the deck. He then deals the third card to each with no irregularities. He repeats his cheating on the fourth card, and then deals the fifth and last card normally to each person. Through a foggy haze created by the effects of Dr. Brain's fine gifts, T1000 notices something is wrong...his speech is slurred, but he makes Kirk's foul cheating known. The jolly RHP-ers agree that Kirk must draw five new cards from the top of the deck. Fegining indignation, Kirk throws his illicit hand to the table, which contained three of a kind. The others laugh knowingly. Then ChessNut (the first to be dealt to) looks at his cards. A full house. Dr. Brain checks his. A full house as well. T1000. FUll house. Rwingett. Full house. Genius. Same. Rhymester has a full house. Kirk lifts his new hand, mumbles some unintelligible incantation, and the betting ensues. Laughing at his percieved mastery of the situation, ChessNut demands Kirk show his cards. Kirk complies with a laugh, and wins with a royal flush.
The question is: What happened, and for what percentage of possible cuts of the deck will Kirk's strategy win with a straight flush?
EDIT While obtaining your answer with a deck of cards is Apostle-worthy cheating (
), it is a cool phenomenon with a simple explanation.