if something has 0% probability does that mean it is impossible?

I dont' think it does, but, well, umm, yeah

anyway my math teacher says that is the probability of selecting an odd number on aninfinitepascal's triangle

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- 08-29-2003Silvercord0% probability == impossible?
if something has 0% probability does that mean it is impossible?

I dont' think it does, but, well, umm, yeah

anyway my math teacher says that is the probability of selecting an odd number on an*infinite*pascal's triangle - 08-29-2003Thantos
Probility is just how likely something is to occur. So 0 probility doesn't really mean impossible, just snowball chance in hell.

- 08-29-2003Silvercord
ha, I like that, I'll have to use that one sometime.

that really makes sense that the probability is 0, because as the number of rows increase the probability of choosing an odd decreases, so 'at' infinity the probability 'is' 0. - 08-29-2003confuted
Yeah, one of the calculus rules is that

Code:`lim a/x = 0`

x->infinity

where -infinity<a<infinity

- 08-29-2003Sang-draxQuote:

*Originally posted by Thantos*

**Probility is just how likely something is to occur. So 0 probility doesn't really mean impossible, just snowball chance in hell.**

- 08-29-2003confuted
Technically... a 1/infinity chance...

But supposing that you have an infinite list (infiniteth row of pascal's triangle) with four odd numbers... You're not going to get an odd number. - 08-29-2003PerspectiveQuote:

*Originally posted by Thantos*

**Probility is just how likely something is to occur. So 0 probility doesn't really mean impossible, just snowball chance in hell.**

*approaches*0 as the number of rows approaches infinity.

prob -> 0 as rows -> infinity. - 08-29-2003Thantos
Considering that you can never reach an infinate value, there will always be a chance to select an odd number. Since as you pointed out that the true probility will never actually reach zero there must be a chance for a condition to exist.

Quote:

But supposing that you have an infinite list (infiniteth row of pascal's triangle) with four odd numbers... You're not going to get an odd number

- 08-29-2003Perspective
>>

I agree that a person won't get those odd numbers but it doesn't make it impossible.

<<

no, its not impossible because the probability of getting an odd number is not 0, its approaching 0.

In general, saying something has 0 probability is saying that it can not and will not ever happen. The reason that it is not impossible to get odd numbers is because the probability of getting an odd number is not actually 0, it is approaching 0. - 08-29-2003goran
I left mathematics long back but could not resist a dig at this. Infinity cannot be defined. So, I second Perspective when he says

Quote:

its not impossible because the probability of getting an odd number is not 0,**its approaching 0**.

- 08-29-2003Jeremy G
0% probability

**BY DEFINITION**DICTATES that it is an impossible event. - 08-29-2003ThantosQuote:

*Originally posted by dbgt goten*

**0% probability****BY DEFINITION**DICTATES that it is an impossible event.

- 08-30-2003Silvercord
goten and perspective and everyone else is right, it is impossible. we're not just talking about a large number of rows, we're talking about an infinite number of rows. Perspective summed it up nicely, as the number of rows increase, the probability of getting an odd decreases, therefore when you are at inifinity it is 0. end of discussion. let's go disco

- 08-30-2003Magos
Isn't "impossible" defined as "posibility = 0"? I mean, everything but 0 is posible so what's left (0) must be impossible...

- 08-30-2003*ClownPimp*
>anyway my math teacher says that is the probability of selecting an odd number on an infinite pascal's triangle

The fact that the triangle is assumed to have an infinite number of rows means that the probability *is* 0 (not approaching zero). Infinity is a concept. While it is true no one can never enumerate infinity, the concept is still valid. Thats why calculus was invented, to define the concepts of infinites and infintesimals and to be able to do math with them.