Q75 / 160 · AP EAMCET 2022 (07 Jul Shift 2) · Mathematics
From a well shuffled pack of 52 cards, two cards are drawn at random. Then, the probability of both the cards being kings is
- A$\frac{1}{15}$
- B$\frac{25}{57}$
- C$\frac{35}{256}$
- Correct answerD$\frac{1}{221}$
Solution
Total cards $=52$, total kings $=4$
$\therefore$ Probability that both cards are kings
$$
=\frac{{ }^4 C_2}{{ }^{52} C_2}=\frac{4 \times 3}{52 \times 51}=\frac{1}{221}
$$
Hence, the correct answer is option: 'D'.