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Topic: COIN FLIP GAME WORTH I (Read 1066 times) |
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mikedagr8
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COIN FLIP GAME WORTH I
« on: Jul 13th, 2007, 3:48am » |
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with this i am confused about the question. I am guessing hte answer is a dollar because a profit would almost be made (even though h/t = 1). i say this is because if people get an incorect flip, the people running the game make money.
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towr
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Re: COIN FLIP GAME WORTH I
« Reply #1 on: Jul 13th, 2007, 4:00am » |
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Well, you can only get a dollar if the first coin is heads and you stop there. But there's only a 50% chance of that happening; so the value of the game is 50ct + 1/2 the value of the game starting with tails.
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mikedagr8
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Re: COIN FLIP GAME WORTH I
« Reply #2 on: Jul 13th, 2007, 4:05am » |
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ah very true. now that i have seen your answer i understand the question, i guess that is how some things work 
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srn437
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the dark lord rises again....
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Re: COIN FLIP GAME WORTH I
« Reply #3 on: Aug 28th, 2007, 12:07pm » |
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It is worth infinite value even though you cannot make that much. It's a paradox. If you don't believe me, check wikipedia.
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towr
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Re: COIN FLIP GAME WORTH I
« Reply #4 on: Aug 28th, 2007, 12:30pm » |
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on Aug 28th, 2007, 12:07pm, srn347 wrote:| It is worth infinite value even though you cannot make that much. It's a paradox. If you don't believe me, check wikipedia. |
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Have you even read the question? Because it cannot be worth more than a dollar.
Quote:| You can start flipping a coin, and at any time claim a prize in cents equal to the fraction of flips that came up heads. So, if you stop playing after getting 4 heads in 5 flips, you earn 80 cents. How much is the game worth? |
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The percentage of coins that turn up heads can never be more than 100%, so you cannot win more than 100 cents.
You were probably thinking about a different puzzle.
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| « Last Edit: Aug 28th, 2007, 12:31pm by towr » |
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srn437
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Re: COIN FLIP GAME WORTH I
« Reply #5 on: Aug 28th, 2007, 12:52pm » |
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Oh, I thought it was the one where you roll until you get tails and get $2^number of heads.
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towr
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Re: COIN FLIP GAME WORTH I
« Reply #6 on: Aug 28th, 2007, 1:05pm » |
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on Aug 28th, 2007, 12:52pm, srn347 wrote:| Oh, I thought it was the one where you roll until you get tails and get $2^number of heads. |
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Yeah, when people answer puzzle from the 'main' page; they really should quote it before replying. Especially when there are other similar puzzles.
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mikedagr8
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Re: COIN FLIP GAME WORTH I
« Reply #7 on: Aug 29th, 2007, 12:25am » |
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Duelly noted from now on, but I did post that on my first day remember and since then, I haven't touched the main site, as it hasn't.
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