I see what you’re saying (assuming you mean a random integer from 0 to infinity), but it couldn’t really, since there’s no such thing as an integer with infinite digits - any random integer will have finite number of digits.
The real problem is there’s no way to choose a random number from 0 to infinity. Every finite number has a probability of 0, and in fact, for any number you choose, there is 0 probability that it will be less than that number. Note that 0 probability is different from “impossible” - see https://en.wikipedia.org/wiki/Almost_surely
I see what you’re saying (assuming you mean a random integer from 0 to infinity), but it couldn’t really, since there’s no such thing as an integer with infinite digits - any random integer will have finite number of digits.
The real problem is there’s no way to choose a random number from 0 to infinity. Every finite number has a probability of 0, and in fact, for any number you choose, there is 0 probability that it will be less than that number. Note that 0 probability is different from “impossible” - see https://en.wikipedia.org/wiki/Almost_surely