There are many articles about on the Kelly Criterion + Kelly Fraction for anyone new to this.

Now according to the stated results the Kelly Fraction would be 10.7%. Of the Bank.

So the 1st bet would be ~23 cents.

And you would expect to win ~5 cents.

And double your bank of $2.11 in ~27 bets.

Keep doubling and that billion is within your grasp.

Kinda' like this well known system:

http://en.wikipedia.org/wiki/Second...he_C hessboard