[pzhon]

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I made a post on another forum in which I claimed that without betting caps on a game like Craps a double up betting system could be used to eventually ruin a Casino that has a finite bankroll.

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Your bankroll is also finite.

You have a probability of winning. That probability is less than 1. Your expected value is not positive.

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A poster in response, called me an idiot (might be right), and said that no huge bankroll could overcome a -EV game? I believe he is wrong and I am right. I would like some help from you probability guys to decide this issue.


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Your friend is right that you can't produce a positive expectation by a betting system. You need to have a +EV game. This has been covered many times before.

Imagine your task is to write down numbers that add up to 100. You can be as creative as you want, you can even use a random number generator, but you can only write down negative numbers. This is impossible for essentially the same reason you can't beat a -EV game by a betting system. I hope that makes it more intuitive to you.