Re: Simplifying
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I think we are just looking at it from opposite but equally valid view points. Mine is that in any series he will eventually win if he can go on indefinately, and yours is that allowed an infinate number of series he will eventually hit a series where he never wins. I think both are true. Maybe thats the paradox [img]/images/graemlins/grin.gif[/img]
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The paradox is how this stupid thread can go on for so long. Since it's only purpose is to analyze gambling situations, it can only have a point if gambling situations can be found that accomodate the the assumptions made here, namely allowing such infinite series, an infinite bankroll and no house limit (and also possibly that the player would not quit at some predetermined level of profit). Even if you assume Bill Gates would want to play a martingale, find someone willing to fade his action without limit or discussing this serves no purpose at all.
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