True. Dealing with probability and infinite sets can cause some problems.
It's a bit weird how the size of positive integers is equal to the size of the positive even integers and yet the probability of choosing one from the other is not 100%.
Another more extreme example is that the size of the Z+ is equal to the size of the positive rational numbers (a/b where a,b in Z+) but what is the probability that a rational number is an integer?
It's a bit weird how the size of positive integers is equal to the size of the positive even integers and yet the probability of choosing one from the other is not 100%.
Another more extreme example is that the size of the Z+ is equal to the size of the positive rational numbers (a/b where a,b in Z+) but what is the probability that a rational number is an integer?