Upon my arrival in Hell, the Devil predictably gave me a chance to win my freedom:
- The Devil's printer would print 101 random real numbers, picked independently and uniformly between -1 and +1, in invisible ink on 101 cards (each with infinitely many decimal places of precision).
- I would be allowed to tear up one of the cards.
- The Devil's card sorter, which can read invisible ink, would order the remaining cards from lowest to highest.
- I would point topick one of the sorted cards.
- The Devil would lightly singe all the sorted cards, causing the numbers to be revealed.
- If the one I picked was the closest of the sorted cards to 0, I would be released.
Should I tear up a card?