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re: Monty Hall Spinoff Thread: St. Petersburg Paradox

Posted on 8/12/17 at 5:46 pm to
Posted by Gray Tiger
Prairieville, LA
Member since Jan 2004
36512 posts
Posted on 8/12/17 at 5:46 pm to
quote:

You have a 1/2 chance of winning $1, a 1/4 chance of $2, a 1/8 chance of $4, and so on.


That isn't right. Each flip of the coin is 50/50. The coin has no memory nor control over the flip.
quote:

As the chance of continuing the game decreases at the same rate the amount of winnings increases, the expected value of such a game is infinite.



No it is the same odds for every flip.
Posted by KosmoCramer
Member since Dec 2007
76549 posts
Posted on 8/12/17 at 5:49 pm to
quote:

No it is the same odds for every flip


So by the odds of flipping tails once, and flipping it 100 times in a row is the exact same.

Got it.

Posted by fightin tigers
Downtown Prairieville
Member since Mar 2008
73681 posts
Posted on 8/12/17 at 5:50 pm to
Probably a couple hundred dollars
Posted by Nado Jenkins83
Land of the Free
Member since Nov 2012
59750 posts
Posted on 8/12/17 at 5:55 pm to
Actually depends on the coin. Heads is heavier than tails in the case of a quarter
Posted by mdomingue
Lafayette, LA
Member since Nov 2010
30658 posts
Posted on 8/12/17 at 6:22 pm to
quote:

quote:

You have a 1/2 chance of winning $1, a 1/4 chance of $2, a 1/8 chance of $4, and so on.



That isn't right.


Actually, taken as a series of flips in total, it is.

quote:

Each flip of the coin is 50/50.


That is true for each individual flip but not the whole series in total.

quote:

quote:

As the chance of continuing the game decreases at the same rate the amount of winnings increases, the expected value of such a game is infinite.



No it is the same odds for every flip.




Perhaps the semantics of his statement are not correct but his meaning is. He is talking about the odds that the game goes that many consecutive flips, not the odds that the individual flip that time change.
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