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Originally Posted by Lovewyrm
Just comparing numbers when you have a magical d∞ seems a bit mundane to me.
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That is the point of rolling dice though. You could just as well throw d6's at your GM if you wanted that as a game mechanic.
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P.S.:
I assume the d∞ to start as a small die that has the infinity symbol on it, and only shows the result when rolled.
I can't even imagine a die that actually has the sides needed to accomodate all the faces 'as is', otherwise.
Even my simple one kind of boggles me. Lol.
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It might be a sphere which holographically displays its result above it when it comes to rest. I would also presume it to give integer results, so that two very close results could be compared in finite time.
But my original point was that rolling d∞'s would have the paradoxical result that the probability of an outcome was determined by the order of the dice rolls, whereas for finitely sided dice the probability is independent of the order.