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Mueen Nawaz wrote:
> Darren New wrote:
>> What is unintuitive to me is that if you draw a numberline on the wall
>> and toss a dart at it (figuratively speaking), your probability of
>> hitting a rational number is zero. That is, there are so many more
>> reals than rationals that the chance of picking a real that's rational
>> at random is literally zero. It would seem there's *some* epsilon
>> chance, but apparently not. :-)
>
> Well, your probability of hitting a given real number is also 0.
> Same amount of weirdness.
Yes. But I meant my probability of hitting *any* rational number is zero.
> Advanced probability theory involves measure theory - which I have
> yet to study properly. My guess is what you're saying holds true because
> the set of rationals is a set of measure 0 w.r.t. to the measure they
> use in probability.
I think that was the technical term I saw, yes. Just seemed strange. Not
wrong, but strange. :-)
--
Darren New / San Diego, CA, USA (PST)
Helpful housekeeping hints:
Check your feather pillows for holes
before putting them in the washing machine.
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