Question

in a shuffling pack of 52 cards , four are drawn , find the chance that this 4 cards should be 1 each from suit

Answer 1

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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