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

Let S be the sample space
Then,
$$n(S)=$$ $${}^{52}{C}_2=$$ $$\frac{\left(52\times 51\right)}{\left(2\times 1\right)}$$   =1326
Let E = event of getting 2 kings out of 4
∴ $$n(E)={}^4{C}_2=$$   $$\frac{\left(4\times 3\right)}{\left(2\times 1\right)}$$   = 6
∴ $$P(E)=\frac{n(E)}{n(S)}=$$   $$\frac{6}{1326}=\frac{1}{221}$$