[\dfrac{1}{221}] From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the

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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} $.

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