If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are clubs.
There are 13 clubs in a deck of 52 cards.
The probability of getting a club on the first draw is 13/52.
After getting a club on the first draw, the probability of getting another club on the second draw is 12/51.
After getting two clubs on the first two draws, the probability of getting another club on the third draw is 11/50.
Finally, after getting three clubs on the first three draws, the probability of getting the last club on the fourth draw is 10/49.
Therefore, the probability of getting all 4 cards as clubs is:
(13/52) x (12/51) x (11/50) x (10/49) = 0.0032
So, the probability of getting all 4 cards as clubs is 0.0032 or 0.32%.