If you were avidly following the USA v Germany match on social media before it happened, your head spinning with all the different possibilities of how that game might turn out and how the result of the concurrent Portugal v Ghana game might affect it, you might have at some point come across something like this:
Here's every possible outcome for #USMNT and Group G Thursday. Just win or tie, guyshttp://t.co/B9ze1KgSKV http://ift.tt/1pQdRpL
— SB Nation (@SBNation) June 26, 2014
That was about the most colorful and easily understandable representation of a numerically complex situation. Math is inherent to the group stage, and especially a team's third and final game of the group stage, where fortunes can turn on a dime. It's easy when you know how it works: three points for a win, one point for a draw, none for a loss; goal difference (goals scored minus goals conceded) as a tiebreaker, goals scored as the second tiebreaker, the little-used drawing of lots as a third tiebreaker Read more...
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