Four cards are randomly selected from a pack of 52 cards. If the first two cards are both kings, what is the probability...

Question

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

A. 4/52
B. 2/50
C. (1/52) * (1/51)
D. (4/52) * (3/51)

Accepted Answer

P(3rd card is king | 1st and 2nd are kings) = 2/50. Answer: B. 2/50 A standard deck has 52 cards with 4 kings. If the first two cards drawn are both kings, then 2 kings have been removed from the deck. Only 2 kings remain among the 50 remaining cards. The probability that the next card drawn is a king is therefore 2/50.

Four cards are randomly selected from a pack of 52 cards. If the first two cards are both kings, what is the probability that the third card is also a king? A. 4/52 B. 2/50 C. (1/52) * (1/51) D. (4/52) * (3/51)