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Peter.
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Yep.
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If everyone chooses a 100 it would be 67.
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Good, so even if everyone in the number--
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everyone in the room didn't choose randomly
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but they all chose a 100, a very unlikely circumstance,
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but even if everyone had chosen 100,
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the highest, the average, sorry,
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the highest two-thirds of the average could possibly be is 66 2/3,
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hence 67 would be a pretty good choice in that case.
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So numbers bigger than 67 seem pretty crazy choices,
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but crazy isn't the word I'm looking for here.