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>> In the limit of N --> infinity.
>
> That's, in fact, the exact same thing as saying "never".
Ermm, no, it's saying that the probability will get as close to 1 as you
want, and in the limit it will *equal* 1. Exactly the same as saying
0.999999... can get as close to 1 as you want, and in the limit is actually
*equal* to 1.
> And that's how it is: Each *individual* round of popping up values from
> the RNG has a smaller-than-1 probability for the works to appear. Thus at
> no point are the works *forced* to appear.
For a finite number of tries, no.
>> Or do you also disagree with 0.99999... with infinitely many 9's equals
>> 1?
No go on, please answer this one, because it's the same thing. At which
point does 9/10 + 9/100 + 9/1000 suddenly equal 1? Answer: when you extend
the series to infinity.
> Do you disagree that a probability of zero does not mean that the event
> will never happen?
A probability of zero means an event does not happen by definition, however
if you try an infinite number of times it might not necessarily never
happen.
A good example has already been mentioned, of choosing an exact number
between 0 and 1. The probability is zero for any specific number, but if
you sum up the infinite number of probabilities between say 0.2 and 0.3, you
will get a non-zero probability.
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