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Question

From a pack of 52 cards , two cards are drawn together at random. What is the probability of both he cards beings ?


Options:
A .  `1/15`
B .  `25/57`
C .  `35/256`
D .  `1/221`
Answer: Option D

Let  S be he sample space . Then

 n(S) =  `52_ (C_2) = ((52 xx 51))/((2 xx 1))` = 1326

Let  E = event of getting  2 kings out of 4

`:.`     n(E) = `4_ (C_ 2) = ((4 xx 3))/((2 xx 1))` = 6.

`:.`      P(E) =  `(n(E))/(n(S)) = 6/1326 = 1/221`



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