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



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

A. 1/15

B. 25/57

C. 35/256

D. 1/221

Answer : D. 1/221...


Explanation:


    Let S be the sample space.
    Then, n(S) = 52C2 = (52 x 51) / (2 x 1) = 1326.
    Let E = Event of getting 2 kings out of 4.
    n(E) = 4C2 = 6.
    P(E) = n(E) / n(S)
    = 6/1326
    = 1/221 .


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