Let a standard deck of 52 cards be distributed randomly 13 e

Let a standard deck of 52 cards be distributed randomly, 13 each, to four players. Call them players A, B, C, and D.

What is the probability that player A gets all the face cards in the deck?

Solution

Face cards are J,Q,K of all 4 suits

So, we have a total of 12 face cards

P(12 face cards and any other card) = 1 * (40C1) / (52C13)

= 1 * 40 / 635013559600

= 0.0000000000629908 ---> ANSWER