I'd suggest digging into the 2+2 archive for their *probability* forum as a start. I've seen some pretty good discussions about "pseudo-random" generators (I think) somewhere. It gives me enough confidence that online sites shuffles are no less "random" than live, probably a lot more.
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"Animals die, friends die, and I shall die. But the one thing that will never die is the reputation I leave behind."
Old Norse adage
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