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[arcimede$]

I didn't have to read you entire response above, Arc.

Of course you didn't. Thanks for proving my point. You really don't want to understand. For some inexplicable reason you believe you are smarter than all the mathematicians in the world. One can look at that kind of arrogance and chuckle.

I got only as far as you saying "We're talking simple math here." Exactly right. So here is a simple way to look at playing your video poker machine with the positive pay table:

1. You take $5 out of your pocket.
2. You put it in the machine.
3. You are out five dollars.

That is the simple math behind video poker. The math stops right there. After that it's wishing and hoping and praying.

Now, let's see what happens when you wish and hope and pray and you get a favorable result:

1. The machine pays you $10.
2. You hit the cash out button.
3. You leave with the $10.

That is also simple math. That's where the math ends. And that is the reality of what happens -- not your bell curve, not your expectation, not your proper strategy.

There are people who have knowledge, and then there are people who are really smart.

And then there are people who are hopelessly stubborn. This type of person seems to believe they can describe the world with a couple of what-ifs. Their view of the world will not be overridden by silly things called facts and mathematical proofs. They already know it all.