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The Miracle at Medinah

The Ryder Cup was about as exciting as golf can get. Down 10-6 going into the last day, the European team eked out a 14.5-13.5 victory.

The headline in USA Today reads “Europe Rallies for Miraculous Ryder Cup Win.” The Ryder Cup website calls it the “Miracle at Medinah.”

So how miraculous was the outcome from a statistical perspective?

Europe needed to win eight of twelve matches for a victory.  (If the teams tied, Europe got to keep the trophy, so it is considered a European win.)  Let’s assume that each of the pairings was an even match.  Then the likelihood that Europe wins after being down 10-6 after two days is given by the binomial distribution: what is the likelihood of at least 8 heads coming up if you flip a fair coin 12 times.

The answer is about 19 percent.

Not exactly the stuff of miracles, but fun nonetheless.