ABC26GN5353 · Probability
Subject: General Aptitude · Chapter: Probability · Exam: · Marks: · Difficulty:
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings ?
(a)$\frac{1}{15}$
(b)$\frac{25}{57}$
(c)$\frac{35}{256}$
(d)$\frac{1}{221}$
Answer
Explanation
Let $S$ be the sample space. Then, $n(S)={ }^{52} C_{2}=\frac{(52 \times 51)}{(2 \times 1)}=1326$. Let $E=$ event of getting 2 kings out of 4 . $$\begin{array}{ll} \therefore & n(E)={ }^{4} C_{2}=\frac{(4 \times 3)}{(2 \times 1)}=6 . \\ \therefore & P(E)=\frac{n(E)}{n(S)}=\frac{6}{1326}=\frac{1}{221} . \end{array}$$
Explanation as extracted from the printed page; notation may be imperfect.
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