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Why history says Jason Day, Jordan Spieth and Dustin Johnson won't win The Open

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Dark-horses contenders at The British Open

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The top three players in the world rankings -- Jordan Spieth, Dustin Johnson and Jason Day -- were favorites to win the 145th Open Championship this week at Royal Troon, but all three failed to capitalize on terrific scoring conditions Thursday and will now have an uphill climb to get a Claret Jug.

History is not on their side.

Spieth and Johnson both posted even-par 71s, eight back of the lead held by Phil Mickelson, while Day finished with a 2-over 73.