> So are you *really* trying to estimate coin flips? Or is there some more 
> complex problem you're trying to solve here?

Not really more complex, just a game that is played repeatedly and you have 
a certain % chance of winning (say 57%).  I just want to know if you play 
10,100, 1000 times what is the *likely* number of wins in some kind of worst 
case and best case scenario.  ie it's obviously possible to win every single 
game, but that is *really* unlikely, I want to know how many you'd win with 
90% or 99% confidence.

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