If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability that all 4 cards are clubs.
Round to six decimal places as needed
There are 13 clubs in a deck of 52 cards, so the probability of drawing a club on the first draw is 13/52 = 1/4.
After the first card is drawn, there are 51 cards left in the deck, 12 of which are clubs. Therefore, the probability of drawing a club on the second draw is 12/51.
Following the same reasoning, the probability of drawing a club on the third draw is 11/50, and the probability of drawing a club on the fourth draw is 10/49.
To find the probability of all four cards being clubs, we multiply these probabilities together:
(1/4) * (12/51) * (11/50) * (10/49) = 0.006042
Rounded to six decimal places, the probability is approximately 0.006042.