Fri Mar 17, 2006, 10:28am
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Official Forum Member
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Join Date: Jan 2002
Location: Glendale, AZ
Posts: 2,672
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Quote:
Originally posted by JugglingReferee
With 63 games in the tournament, there are 9.22337204 × 10 ^ 18 unique brackets. This number is 9.22 quintillion.
To count this high, you would need to count a number each second for 2.92471209 × 10 ^ 11 years (.3 trillion years).
With just 2.7 million entries, the odds of someone hitting a perfect bracket is 1 in 3.41606372 × 10 ^ 12, or 1 in 3.4 trillion.
How many games should be assumed to go according to Hoyle such that 1 of the 2.7 million is guaranteed to pick a perfect bracket? (Or, 2 ^ # games = 2.7 million.) That number is 21: 2 ^ 21 (2 097 152). IOW, there must be 42 games according to Hoyle so that it really is only a pick of the toughest 21 games.
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This made my head hurt. And I haven't even had any green beer yet....
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