# 0% probability == impossible?

This is a discussion on 0% probability == impossible? within the A Brief History of Cprogramming.com forums, part of the Community Boards category; "Once you have discounted the impossible, whatever remains, no matter how improbable, must be the solution." Sherlock Holmes (A C ...

1. "Once you have discounted the impossible, whatever remains, no matter how improbable, must be the solution."
Sherlock Holmes (A C Doyle)

0 probability = impossible.
(just as an event with 1 probability will always happen)

1/infinity != 0 probability
(though it may be close enough for most observations depending on the accuracy required)

ie the chance of finding your car keys on a beach is close enough to be 0 but is not impossible.

Or the chance someone walks out of a casino with all their winnings, now thats impossible, trust me.

2. Read the next sentence in the post, and you'll see.
I did, but it doesn't answer the question.

You seem to be arguing that infinity as a concept does not exist.

So my question is, how many coordinates are there in a given region of space and what is the probability of choosing 1 at random?

I know you can tell me how the probability of choosing a number at random out of an ever growing pool of numbers is changes. But, that is not my question. Infinity might not be a normal "number" but it is something, and i do not see any invalidity in claiming something has an infinite "number" of X.

We use limits to aid us with infinities because they defy normal mathematical rules, that doesn't mean the concept is not a useful one.

3. Originally posted by novacain
1/infinity != 0 probability
(though it may be close enough for most observations depending on the accuracy required)
You cannot divide a number with infinity. You can divide with a number n that approaches infinity, thus getting a number that approaches 0.

4. Originally posted by *ClownPimp*
In all the math classes Ive been in 'an infinite number' of something was always used to mean the number of something was not finite, meaning cant be counted (hence the term infinite)
Okay, we agree. What you call an "infinite number", I'd call "infinitely many" to distinguish it from numbers... but thats kind of irrelevant.

Clyde, I'm not arguing that the concept of infinity does not exist, I am stating that it is not a number. You cannot add, multiply, subtract, divide, or otherwise use it as any number. There are infinitely many points in a given region of space (disregarding Planck-length, etc), and the limit of the probability function is 0. Infinity is a quantity that is larger than any real number, and hence, it is not a number.

5. WE SHOULD START TALKING ABOUT GOD NOW TOO

christ

no pun intended

if that was even a pun

im just going to stfu, bye

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