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Stumped on a puzzle • Page 4 • The Lounge • Political Crossfire Forums

Stumped on a puzzle

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Re: Stumped on a puzzle

Postby The Dharma Bum » Wed Jan 09, 2013 9:12 am

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Re: Stumped on a puzzle

Postby Stratego » Wed Jan 09, 2013 7:00 pm

Sigmund Freud defined four parts of a psyche; the id, the ego, the superego and the stratego. The Stratego being the highest form of morality and scientific thinking.

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Re: Stumped on a puzzle

Postby Showboat » Wed Jan 09, 2013 7:25 pm

But those who torment us for our own good will torment us without end for they do so with the approval of their own conscience. - C.S.Lewis
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Re: Stumped on a puzzle

Postby OGPhilly » Wed Jan 09, 2013 7:26 pm

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Re: Stumped on a puzzle

Postby Showboat » Wed Jan 09, 2013 7:33 pm

Last edited by Showboat on Wed Jan 09, 2013 7:36 pm, edited 1 time in total.
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Re: Stumped on a puzzle

Postby OGPhilly » Wed Jan 09, 2013 7:36 pm

Alright I'm feeling dumb now. Explain to me in derpspeak why I would pay any amount conceivable when there a 50/50 chance I walk away with nothing after the first round?
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Re: Stumped on a puzzle

Postby Showboat » Wed Jan 09, 2013 7:42 pm

You wouldn't mate. It's a paradox because of infinity, which isn't practical in real life. Your expected value depends on the bankroll the casino has.

From the wiki:

Banker Bankroll Expected value of lottery
Friendly game $100 $4.28
Millionaire $1,000,000 $10.95
Billionaire $1,000,000,000 $15.93
Bill Gates (2008) $58,000,000,000 $18.84
U.S. GDP (2007) $13.8 trillion $22.78
World GDP (2007) $54.3 trillion $23.77
Googolaire $10100 $166.50

I only know this shite because I heard it on a podcast (about a coin flip rather than chess pieces but the principle's the same) a couple of weeks ago and some professor was explaining it.
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Re: Stumped on a puzzle

Postby OGPhilly » Wed Jan 09, 2013 7:46 pm

So just as a mathematical formula, the value is infinite cause there's no like limit to how much you might win, despite the odds of perpetually winning being so slim?
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Re: Stumped on a puzzle

Postby Showboat » Wed Jan 09, 2013 8:02 pm

Yeah the expected value is 0.5 chance of winning $2 plus 0.25 chance of winning $4 etc etc which works out quite low with a finite maximum win. But with an infinite max win it keeps on going forever so is an expected value of infinity. Which is of course completely f**k up.
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Re: Stumped on a puzzle

Postby The Dharma Bum » Wed Jan 09, 2013 8:08 pm

Hmmm...sounds like I had better cheat after all.
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