It's a funny trick, but it touches on something that I can't help but feel is completely nonsensical: repeatedly picking random numbers from an infinite set. I

It's a funny trick, but it touches on something that I can't help but feel is completely nonsensical: repeatedly picking random numbers from an infinite set. It's basically a longer version of the following trick: 1) Pick a random real number in the range [0, 1] 2) Pick another 3) What is the probability that they are identical? For another example, see: http://en.wikipedia.org/wiki/Bertrand_paradox_%28probability%29 http://en.wikipedia.org/wiki/Bertrand_paradox_%28probability...