Re:Bernoulli: Exposition of a New Theory on the Measurement ...
by applecore on Friday July 17, 2015 @12:14PM
(#9903437)
Even if you had a 100% guarantee that the casino would pay with no upper bound, it still isn't worth paying more than few dollars for a lottery ticket.
Re:Bernoulli: Exposition of a New Theory on the Measurement ...
by lisper on Friday July 17, 2015 @12:40PM
(#9903579)
> if you had a 100% guarantee that the casino would pay with no upper bound
That's kind of like saying "If you could travel faster than the speed of light..." Paying without an upper bound is no less a violation of the laws of physics in a finite universe.
The simplest solution is to recognize that a real world casino has an upper bound to what it can pay, and you can't realistically get more than that. With that upper bound, the expected payout is now finite, and actually pretty small, even for absurdly large upper bounds on the maximum payout (such as "all the money in the world").
[1] https://en.wikipedia.org/wiki/St._Petersburg_paradox