hate to point this out
but the odds of ANY combination of 15 reds and blacks are the same (2^15 or rather a little more, allowing for the green 0, or the green 0 and 00 on a US table)

You just wouldn't take any notice if you got red,black,red,black etc.

It's perception of likelihood rather than actual likelihood itself that's confusing here.

And as you say, the actual odds for each spin are "reset" each time, anyway, which means again we perceive a likelihood that isn't there. At any point, for any spin, the odds of red or black are simply 50/50 regardless of whether it was one red or a hundred reds in a row before.
( the mighty badger Aphrodite, on a bar stool, by your side, Fri 8 May 2009, 16:44, Reply)