suppose there are 100 guys...
and each of them pick any number between 0 and 100
once everybody has picked a number....you add all of the numbers and multiply that by 2/3
so...if everybody picked 100....the average would be 100 and after multiplying by 2/3, you get 66.67...
now, whoever's picked number is closest to the average multiplied by 2/3, wins the game and gets $100.....
what no I should I choose to maximize my chance of winning?

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Idk....I've no idea at all :/

Use Bayes' Theorem!

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