GATE2015 CE-2: GA-5

Question

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

• A. $4/52$
• B. $2/50$
• C. $(1/52)×(1/52)$
• D. $(1/52)×(1/51) ×(1/50)$

Comments

I think that this question is slightly ambiguous about whether the cards have been drawn all at once, or one by one.

Answer 1

There are $4$ kings in a pack of $52$ cards.
If $2$ cards are selected and both are kings, remaining cards will be $50$ out of which $2$ will be kings.

So, answer is B.