This month's IEEE GlobalSpec Newsletter Challenge is:
You've been granted magical tennis powers, which allowed you to reach the US Open finals against Rafael Nadal. The powers, however, can't last the entire match. At which score would you prefer them to wear off to maximize your chance of winning?
And the answer is:
This question comes from the archives of Dartmouth math professor Peter Winkler. Winkler gives several solutions, in order of favorability to you winning the match:
-Let the set score be 2-0 in your favor in the best-of-five match, ahead 5-0 in game score and leading 40-love in the sixth game. This gives you three chances to win match point until the game score is tied 40-40, at which point Nadal could begin to beat your powerless self back.
-Even better, let the set score be 2-0 in your favor, tied 6-6 in game score in the third set, and leading 6-0 in the first-to-seven tiebreak point. This gives you six chances to win the tiebreak match point.
-A dubious but still possible answer would be a score of 6-0, 7-6 (1,000-998), 6-6 (6-0). In this case you have won the first set easily, won the second set by an absurdly long tiebreaker involving almost 2,000 games (in which case Nadal has completely exhausted himself), and are now leading 6-0 in the third set tiebreaker. In other words, you have six chances to win against a world-class but completely exhausted player.
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