Is this a fair question?

[reno cool]

Lets say I'm going to start with 100$ and flat bet 10$ --- even money bets with say a 52% chance of winning.
Now I can say that I have a certain chance of busting x before I hit a certain high point y.
As y increases so does x
Is it fair to ask then what are my chances to grow my stake infinitely?
It seems that at some point x would have to even out otherwise everyone would ultimately go broke.
How does this work?

[Ganchrow]

Lets say I'm going to start with 100$ and flat bet 10$ --- even money bets with say a 52% chance of winning.
Now I can say that I have a certain chance of busting x before I hit a certain high point y.
As y increases so does x
Is it fair to ask then what are my chances to grow my stake infinitely?
It seems that at some point x would have to even out otherwise everyone would ultimately go broke.
How does this work?

I outlined the methodology for solving problems such as these in this post.

[Data]

First, Buchdahl's book has already been recommended to OP and it addresses the raised and associated questions thoroughly.

Second, Ganchrow has already been recommended more than once to publish a book of his own.

It seems we are going in circles. I already noted that the Think Tank forum life is a bitch. Crap, this is depressing.

OTOH, it is Friday. I am going to mix some more drinks.