From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
$ \dfrac{1}{15} $
$ \dfrac{25}{57} $
$ \dfrac{35}{256} $
$ \dfrac{1}{221} $
Explanation:
Let S be the sample space.
Then, $ n \left(S\right)$ = 52C2 =$ \dfrac{(52 \times 51)}{(2 \times 1)} $= 1326.
Let E = event of getting 2 kings out of 4.
$\therefore n \left(E\right)$ = 4C2 =$ \dfrac{(4 \times 3)}{(2 \times 1)} $= 6.
$\therefore P\left(E\right)$ =$ \dfrac{n(E)}{n(S)} $=$ \dfrac{6}{1326} $=$ \dfrac{1}{221} $.