Head to head vs Goal Difference

Russia was knocked off the Euro 2012 by Greece by their achievement of scoring more goals than Greece.

Their sin – they lost to Greece. I wonder if the strategy to give heads-up to a team only ’cause their one-on-one record is better than a goal difference is a good one!

So when it ended, stats were ..

  Russia Greece
Points 4 4
Goals For 5 3
Goals Against 3 3
Goal Diff 2 0
Yellow Cards 6 9
Red Cards 0 1

I wonder why other statistics too were ignored? Is head-to-head a better criteria to move a team up?

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