Take a die with an unknown number of sides. What is the chance of rolling a one? ANSWER: Close to Zero.

How to Calculate Answer: Figure Out all the possibilities and add them up... It seems like a problem that approaches a limit. We can't calculate an infinite number of cases but we can study the first few cases and search for a trend...

For a One sided die, the odds of rolling a one is 100%.
[a one sided die is an interesting concept]
For a two sided die the odds are 50%.
For a three sided die the odds are 33 1/3%
For a four sided die the odds are 25%... and so on...
20%, 16.6%, 14.2%, 12.5%, 11.1%, 10%, 9.09%, 8.3%
That's the first dozen cases... add up all the percentages and divide by the total number of cases...
=25.84%

Then the next dozen cases...
 .0769, .0714, .0666, .0625, .0588, .0555, .0526, .05, .0476, .0454, .0434, .0416
=15.5025%


and the 100th case=.01
and the 1,000th case=.001
and the 10,000th case=.0001
and the googleplex case=1/googleplex [a really small number]

so, the answer to the question is: 
The odds of rolling a one is 1/almost infinity or about zero.