P( 0 < P < 1 ) = 1??

I have this philosophy that nothing in this universe has a probability of absolute 1 or absolute 0. Doesnt it seem right?? I mean,

P(me suddenly teleporting to mars) != 0
P(u completing reading this sentence) != 1

But, consider this statement.

"Nothing in this universe has a probabilty of 1 or 0."

Now, what is the probability of this statement being true??.....

ie P(0 < P < 1) = ??

If it is 1 then it is 0. :P

That is, if the statement is true, then it is false....

So it must be 0.

Which means there ARE things with P = 1 or P = 0 .... right?? But that seems so wrong! But I just found an example of one!

YTF cant I go to sleep thinking of sheep jumping over fences or some such... why, why, whyyyyyyyyyyyyy!