>> I simulated this game in C++ and after 1e6 goes the average win-per-go 
>> settles down quite nicely to $8.09 and stays there up to 1e8 goes.
> 
>  How did you implement it? What type of integers did you use to count the
> amount of money? (Note that a 32-bit integer will overflow after only 32
> tosses of the coin, which is perfectly within the realm of possibility.)

I used 32bit and then 64bit integers, but the result was the same.

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