Four cards are drawn at a time from a pack of 52 playing cards. Find t

1.	Four cards are drawn at a time from a pack of 52 playing cards. Find the probalgetting all the four cards of the same suit.
Answer» There are 4 suits in a standard deck 52 cards.Number of ways of selecting 4 cards out of 13 cards( i.e. a suit) are 13!/(4!9!)Note that we can choose 4 cards out of any 4 possible suits.So total ways become: P = 4 * ( 13!/9!4! ) Also, no of ways to select 4 cards out of 52 cards are: Q = 52!/(4!48!) Hence The probability is: P/Q = (4*13!/4!9!)/(52!/4!48!) hit like if you find it useful

Four cards are drawn at a time from a pack of 52 playing cards. Find the probalgetting all the four cards of the same suit.

Answer»

There are 4 suits in a standard deck 52 cards.Number of ways of selecting 4 cards out of 13 cards( i.e. a suit) are

13!/(4!9!)Note that we can choose 4 cards out of any 4 possible suits.So total ways become:

P = 4 * ( 13!/9!4! )

Also, no of ways to select 4 cards out of 52 cards are:

Q = 52!/(4!48!)

Hence The probability is:

P/Q

= (4*13!/4!9!)/(52!/4!48!)

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