Question

A pack of 52 cards were distributed equally among 4 players. Find the chance that 4 kings are held by particular player.

Answer 1

Answer:

The chance that 4 kings are held by particular player = 0.002641

Step-by-step explanation:

Number of cards in pack = 52

These cards need to be divided equally among 4 players

So, Each player will get 13 cards

$\text{Total number of ways of distributing the cards = }\frac{52!}{(13!)^4}$

Now, Let first player get 4 kings then he needs 9 more cards

⇒ Now, remaining cards = 52 - 4

                                          = 48

$\text{So, Number of ways to distribute the remaining cards = }\frac{48!}{9!\times (13!)^3}$

$\text{Therefore, The required probability = }\frac{\frac{48!}{9!\times (13!)^3}}{\frac{52!}{(13!)^4}}$

Hence, The chance that 4 kings are held by particular player = 0.002641