What is the probability that the first is a King and the second is not a King?

Question

Two cards are drawn from a standard deck of cards without replacement. What is the probability that the first is a King and the second is not a King?

Answer 1

There 4 kings out of 52 cards, so the probability of drawing a king first is 4/52 = 1/13.

 

If the king is not replaced, the probability of not drawing a king is 48/51 since there are 3 kings left out of 51 cards.

 

The probability of both events occurring in succession is the probability of the first event times the probability of the second event.

 

(1/13)(48/51) = 48/663