A Less Obvious Martingale Fallacy

[GFunk911]

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The question is, is it possible for the player to begin a series that will never end in a win. And the answer is no, it is not.

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Firstly, that is not the main point of the thread.

Secondly, even if that is true, and even if it is a hinging point, the following is then also true (with a fair coin not a roulette wheel):

P= probability of no win by N trials

1 Loss in a row----> P=1/2, financial loss = $1

3 Losses in a row--> P=1/8, financial loss = $7

5 Losses in a row--> P=1/32, financial loss = $31

Infinite losses in a row-->P=Zero, financial loss = $Infinity

So the certainty point of which you speak also corresponds to losing infinite dollars.

With a fair coin.

Not a roulette wheel.

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But when you reach the point of certainty, your loss is infinity dollars, and your win is infinity + 1 dollars.

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No it's not. Your loss is infinity and your win is $1, not infinity+$1