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

Explanation

Choosing `4` cards from `52` playing cards = 52_(C_4)


`A=` all spades cards `(13)`


`B=` all club cards `(13)`


`C=` all diamond cards `(13)`


`D=` all hearts cards `(13)`


These are mutually exclusive events, so


`P(A)=(13_(C_4))/(52_(C_4))`


`P(B)=(13_(C_4))/(52_(C_4))`


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