Quote (Subwoofer @ Nov 8 2011 03:23am)
at random means the details can't play a role in your choice. if you can calculate something it very well can't be random now can it?
thats the kind of issues you run into with these paradox questions they make no sense on multiple levels.
Just because the details don't play a role in your choice doesn't mean the probabilities aren't pre-determined and able to be calculated. Like you can roll two dice, and you know without a doubt that you have a 6 in 36 chance of the sum being 7, a 5 in 36 of it being 6 or 8, 4 in 36 of it being 5 or 9, ... and a 1 in 36 chance of it being 2 or 12. If you roll a pair of dice hundreds of times, you'll see that probability distribution emerge.
So in this question, if you pick just one answer at random, you have a 50% chance that you pick "25%", and a 25% chance that you pick "50%" or "60%". No matter which you pick at random, it does not correctly answer the question asked.
At least, that is if you use a random probability distribution such that every choice is equally likely. Like I said in my first post, you could use a weighted random distribution so that you still pick randomly, but it's more likely that you pick one answer over others.