Question

Four cards are randomly selected from a pack of 52 cards. If the first two cards are kings, what is the probability that third card is a king?

• A. $\frac{4}{52}$
• B. $\frac{2}{50}$
• C. $\left(\frac{1}{52}\right)\times \left(\frac{1}{52}\right)$
• D. $\left(\frac{1}{52}\right)\times \left(\frac{1}{51}\right)\times \left(\frac{1}{50}\right)$

Answer 1

The correct option is B $\frac{2}{50}$

In a pack of 52 cards there are 4 kings.
If two selected cards are kings, then remaining cards are 50 cut of which 2 will be kings. So, required probability
$=\frac{{}^2{C}_1}{{}^{50}{C}_1}=\frac{2}{50}$