Re: Programming to Beat the Odds in Gaming

On Apr 29, 3:00 am, "Rickey" <rickey.bro...@xxxxxxxxxxx> wrote:

I'll assume you bet only on Red.

... is what is called the
Martingale. But even the Martingale cannot guarantee winning each time the
player plays.

Oh. You must be using the ordinary Martingale,
in which your bet sequence (waiting for Red) is
1, 2, 4, 8, 16, 32, ..., x, 2x, ...
this wins $1 for every red, but as you say, wins nothing on Black.

If you want a guarantee that you win even when Black comes up
simply adopt the bet sequence
1, 3, 7, 15, 31, 63, ..., x, 2x+1, ...
Check and you will see that, assuming only that you quit after
some Red, that you will win N dollars after N spins regardless
of how many were Red and how many Black.

If you're unlucky, and expect Black to come up more often
when you bet on Red, you can do even better!
1, 4, 10, 22, 46, 94, ..., x, 2x+2, ...
Now you win $1 for each Red (the color of your bet)
and $2 for each Black (the color you're betting against!).
Assuming only that you make the bets implied, and quit
immediately after some Red.

I've made so many millions over the years with this system,
that casinos won't let me play anymore. I give it you,
Rickey, asking only that either (a) you give me 1% of
your first million dollars of winnings, or (b) you send me
$5 in advance with no further obligation.

James (hoping for option (b))
.