"scott" <sco### [at] scottcom> 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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