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"scott" <sco### [at] scott com> wrote in message
news:49662979$1@news.povray.org...
> > Of course it only makes sense to play if both you and the casino have
> > infinite time and infinite money.
> What if you don't have infinite time?
Then we decide on a cutoff.
> >> Does it depend on how many goes you are going to have?
> > No, each round of game is independent, is it not?
> Yes, but somehow you have to calculate the "realistic" amount that you
will
> win in finite time, so you can decide how much you are willing to pay for
> this game.
Sure, if you tell me exactly what the finite time is.
> If I offered you a go for $2 would you take it?
It's an even game for 4 throws, favours me for higher. You must show me that
you have $8.
> How about $5,
It's an even game for 10 throws, favours me for higher. You must show me
that you have $512.
> $10,
It's an even game for 20 throws, favours me for higher. You must show me
that you have $524,288.
This is on par with typical lotteries. Odds of winning the biggest jackpot
is almost one in a million, with more probable smaller prizes.
> $100 ?
It's an even game for 200 throws, favours me for higher. You must show me
that you have over $8e59.
Even then, I don't think I'd play, as I don't know where I'd put that money
if I win.
> There is a stark contrast to these values and the theoretical infinite
> average expected winnings.
The progression on maximum winnings possible might be a clue why.
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