Question

From a pack of 52 cards, two cards are drawn at random. The probability that one is king and other is queen is----

• A. $\frac{2}{7}$
• B. $\frac{8}{663}$
• C. $\frac{1}{664}$
• D. $\frac{4}{1889}$

Answer 1

The correct option is B $\frac{8}{663}$

Total number of cases $=$ ${}^{52}{C}_2$

Therefore, required probability that one is king and other is queen is $=$ $\frac{{}^4{C}_1{\times }^4{C}_1}{{}^{52}{C}_2}$

$=\frac{16}{26\times 51}=\frac{8}{663}$