An infinite-sided die is rollled infinite times

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Actually, the probability of rolling any of the sides would be zero.
can you explain why pls

Dice follow a uniform probability distribution, meaning each event in its interval has constant probability. For a six-sided die, that probability is 1/6. The formula for a uniform distribution is:

P(x) = 1/(b-a),

P(x) means the probability of event x occurring.
'b' is the upper limit of the interval (for the six-sided die, b = 6)
'a' is just the lower limit of the interval

Without going into too much complexity, you're basically left with the probability of any event being 1/infinity, which is zero. (And that's just fudging the numbers...you can't divide by infinity, but I'm leaving out the calculus involved in that process.)

Going into more depth, any probability distribution at a high enough number of trials becomes a normal distribution, which looks like a typical bell curve. For a continuous random variable (which is what we have here), the probability of any single event occurring is zero, for the aforementioned reasons. Instead statisticians ask, "what's the probability of a group of events occurring?" Here you could ask, "what's the probability of rolling a side from 1 - 100,000,000?" I don't know what that answer is, and I suspect any interval also has a probability of zero, because any set of an infinite interval is negligible by comparison.
Last Edit: August 25, 2015, 04:02:28 PM by HurtfulTurkey


 
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