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Posted by: gerilege at January 21, 2008, 10:24 am

Topic: Why we cannot win playing European Roulette. Forum: Casino Meister

Quote: Originally Posted by SlotMonster

Hello folks!
In file attached you can find an argument why we cannot win playing European Roulette. It's just my poor effort. Waiting your answers and comments. Thank you!

I think you have over-engineered it. It is enough to show that you can never make a bet with positive expectation, which is something similiar to your table for the different bet ariations. Your best bets on European roulette are the single chances, like red or black, in which your expected alue is -0.0135*your bet, because you get back half of your wager in case of zero.
Now no matter what kind of bet you make, your expected alue is less or equal to (EV) = c*w, where c<0 and w>0 is your total wager.
And if w goes to +infinity, EV is always negative.

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