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A horse race has 14 horses entered. You have foolishly decided to place a trifecta bet, in which you must predict the first three finishers

  1. A horse race has 14 horses entered. You have foolishly decided to place a trifecta bet, in which you must predict the first three finishers in the race. Assuming that each horse is equally likely to finish in each place (a dubious assumption, but for now that's okay!), what is the probability that you pick the correct top three finishers? (Recall the classical approach to probability.)

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