You should be able to solve this.

Create a method to choose a random integer between 0 and infinity such that no integer is more likely to be chosen than any other.

Yes it is possible, I don't care what your probability book says (Notice I didn't even use the word "probability").  You may assume the axiom of choice.

>>53
no it isn't, the reason the math dinks keep whining that 0.999... means 1 is because the math dinks defined real numbers as the sum of the sequence rather than the sequence itself.  It's their ball, and they can take it from us and go home no matter how we protest.  Or we can just quietly ignore them because really who gives a shit.