%0 Journal Article
%A Student,
%T TOSSING TEN HEADS IN A ROW
%D 1996
%J Pediatrics
%P A49-A49
%V 98
%N 6
%X [Think of a coin-tossing tournament.] One player tosses and the other calls; the winner advances. The winner of this tournament will be that single player who has won n consecutive coin-tosses without a loss, depending on how many rounds it takes to complete a tournament. There is something strange and trivial about this tournament, but what is it? The winner does have a rather remarkable property. How often have you ever met anyone who just won, say, ten consecutive coin-tosses without a loss? Probably never. The odds against there being such a person might seem enormous, and in the normal course of events, they surely are. If some gambler offered you ten-to-one odds that he could produce someone who before your very eyes would proceed to win ten consecutive coin-tosses using a fair coin, you might be inclined to think this a good bet. If so, you had better hope the gambler doesn't have 1,024 accomplices (they don't have to cheatâ€”they play fair and square). For that is all it takes 2 competitors) to form a ten-round tournament. The gambler wouldn't have a clue, as the tournament started, which person would end up being the exhibit A that would guarantee his winning the wager, but the tournament algorithm is sure to produce such a person in short orderâ€”it is a sucker bet with a surefire win for the gambler.
%U https://pediatrics.aappublications.org/content/pediatrics/98/6/A49.2.full.pdf