Showerthoughts

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A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. A showerthought should offer a unique perspective on an ordinary part of life.

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A number chosen truly at random will have infinite digits (lemmy.world)

submitted 1 year ago by [email protected] to c/[email protected]

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[–] [email protected] 0 points 1 year ago* (last edited 1 year ago)

For a number to be non-infinite, there must be at some point be a digit where all digits after it generate a 0.

For all numbers in our sequence, the probability of generating a 0 is 1/10: there is no point at which we cannot generate a 0. Furthermore, after the first 0 is generated at a, the odds of a+1 being 0 are also 1/10, as are the odds of a+2, a+3, and a+n. So we cannot identify a b, such that entry a+b must be >0, since the odds of any given a+b generating 0 are also 1/10.

the odds of randomly selecting 0 exactly an infinite number of times is exactly zero which is why OP is right

Probability of a=0 is (1/10)

Pa = (1/10)
Pb = (1/10)

Probability of both being 0:

Pa AND Pb =(1/10)*(1/10)

then for n 0s

Pn = (1/10)^n

as n -> inf, Pn -> 0

put another way, (1/10)^inf = 0