If you were to randomly generate integers for infinite time, are you guaranteed to get a specific number? (eg, are you guaranteed to generate the number 10 at some point?)

It's been many years since I've taken a stats class, but I'd say there is no guarantee. I'm not even sure how to determine the probability of getting a specific number when the possibilities are infinite and the number of samples are infinite. What's infinity/infinity?

Infinity does not have number properties; you can't add to it, subtract from it or multiply or divide by it.

And I just realized that I did not properly specify infinity, let me explain. If I were to take infinity even numbers away from infinity numbers I would still have infinite odd numbers. So infinity - infinity = infinity. But that is only because infinity is not properly defined. That is why I came up with this ingenious notation for infinity.

∞1 = every number (all multiples of 1)
∞2 = every even number (all multiples of 2)
=> ∞1 - ∞2 = all odd numbers

and so, when we specify infinity in the correct manor we see that ∞1 - ∞1 = 0

In proper notation the number after infinity should be in subscript. And please, if you use this notation, refer to it as the ?Miller notation?

Now to correct my original question: both the infinities I mentioned in the original question were ∞1.

The uncertainty principle eliminates any possibility of certainty.

But there is one heck of a very high probability.

How you intend to perform the experiment?

...an experiment is impossible because it would last for ever.

'...an experiment is impossible because it would last for ever.'

or for just one roll of the die (you may get 10 on the first go).

I don't believe it! Censorship has reached scienceagogo! Rusty you fiend!

And now for something relevant, have mathematicians ever seriously studied infinity or the concept of infinity?
All I get when I look it up is rubbish like [∞ = (-∞)]which I have just disproved with my amazing notation idea.
Is there some sort of secret underground society of mathematicians (like the present day illuminati) that has actually done a full analysis of infinity? If any of you have any connections with such people, please tell me all about their research.

Rusty ... you censored something?

Yeah Rusty!

Three cheers for Rusty!
Hip hip hooray!
Hip hip hooray!
Hip hip hooray!

For he's a jolly good fellow.
For he's a jolly good fellow.
For he's a jolly good fellow.
Which nobody can deny!

A drink to you my good man!

Mathematics has an elaborate theory of infinity with many open questions.
Try Googling "infinte set".

*sigh* When I edit no one notices; when I delete no one cheers. *sex discrimination*

Perhaps when you do it no one complains. ;-)

Rose I applaud you for every time you have done so and not just made the threat!

Now take a good look at what Kate posted in the Science forum: "Climate Musings Spark Religious Brouhaha." Surely this belongs under "Not Quite Science" or "Avain Flu." ;-)

Sorry Rose ... I don't like to offend a woman that carries a shotgun.