Question

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

• A. 1/15
• B. 25/57
• C. 35/256
• D. None of these

Answer 1

The correct option is D None of these

Two cards can be drawn from a pack of 52 place cards in ${}^{52}{C}_2$ ways

$i.e,\frac{52\times 51}{2}=1326ways$

The event that two kings appear in a single can appear in ${}^4{C}_2$ ways, i.e. 6 ways.

$\therefore$ The probability that the two cards drawn from pack of 52 cards are kings

$=\frac{6}{1326}=\frac{1}{221}$