Question
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
Answer: Option D
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Let S be the sample space.
Then, n(S) = 52C2 = \(\frac{(52\times51)}{(2\times1)}\) = 1326.
Let E = event of getting 2 kings out of 4.
So, n(E) = 4C2 = \(\frac{(4\times3)}{(2\times1)}\) = 6.
So, \(P(E) = \frac{n(E)}{n(S)}=\frac{6}{1326}=\frac{1}{221}.\)
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