What's the probability of drawing every card at least from 82 cards, with replacement? What is the probability that if I draw 82 cards at random with replacemnt from a standard deck, every card is drawn at least once?
I've been banging my head against a wall for hours now, any help please.
I tried a smaller scale problem, so if I draw 52 cards, then it would be 1/52*1/52*1/52....52 times, so (1/52)^52. I think... 

I found the answer: You use Stirling numbers of the Second Kind. So the answer ends up being 52!*S(82,52). Refer to this page: http://en.wikipedia.org/wiki/Stirling_numbers_of_the_second_kind
