Question

From a pack of $52$ playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.

• A. $\frac{1}{15}$
• B. $\frac{25}{57}$
• C. $\frac{35}{256}$
• D. None of the above

Answer 1

The correct option is D None of the above

Two cards can be drawn from a pack of 52 playing cards in ${}^{52}{C}_2$ ways,
i.e., $\frac{52\times 51}{2}=1326ways$
The event that two kings appear in a single draw can appear in ${}^4{C}_2$ ways, i.e., $6$\> ways,
$\therefore$ The probability that the two cards drawn from a pack of 52 cards are kings $=\frac{6}{1326}=\frac{1}{221}$