> Dana wrote:
> I understand your point.

No you don't, but you think you do because you worked in a math lab or
something.  I did the math for you and it's right on the page.  What
you're pointing out is totally different.

You: The odds of the NEXT flip being heads is 50%.  True.

Me: The odds of the next flip being heads GIVEN that you've flipped 9
heads in a row is 0.1%

That's the math.  There is no other math.  Now, let's take that to a casino ...

If you're playing at the coin flip table and you bet $1 on each flip
that it comes up heads, your odd of winning on the next flip is 50%.
Your odds of winning 10 flips in a row is only 0.1%

So the casino could entire you to play by saying that you win the
$10,000 jackpot if you can flip 10 heads in a row.  They can feel
comfortable that 99.9% of the time they won't have to pay out.

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