Re: \"Let\'s make a deal\" problem
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It seems as though one could design a money making scheme around this principle, but it would be fruitless if everyone knows the solution.
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Daniel Negreanu posted a video recommending just that last year when he found out about this trick. He played it with an ace, king, and queen with the goal being to find the ace.
Find someone who isn't good with math, show them the game, then take the remaining card for yourself. If you win they pay you $10, if they win then you pay $15.
They will see a 50/50 game, and results that heavily favor them, so they should be all for playing it... even though the odds are really in your favor.
I don't think this would actually work too well though. The game is complicated enough to not be understood right away, and it's also complicated enough for them to suspect a trick. And it definitely won't take long for them to notice that you're winning twice as often as they are.
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