Problem:
You read in a book on poker that the probability of being dealt two pairs in a five-card poker hand is 1/20. This means that
Required:
(i) if you deal thousands of poker hands, the fraction of them that contain two pairs will be very close to 1/20.
(ii) if you deal 20 poker hands, exactly 1 of them will contain two pairs.
(iii) if you deal 10,000 poker hands, exactly 500 of them will contain two pairs.