A breakfast cereal company ran a contest in which every box of cereal contained a number between 1 and 1000 (inclusive). One lucky number was drawn from all 1000 numbers each night for 20 nights. One man bought so much cereal that he had 500 different numbers, but not one of his numbers was lucky in any one of the draws. What is the approximate probability of this happening in a fair contest?

1) 1 in 100
2) 1 in 100000
3) 1 in 10000
4) 1 in 1000
5) 1 in 1000000