Question

Two cards are chosen from a standard deck of 52 playing cards without replacement. What is the probability that the first card is an ace and the second is a king?
A. 1/169
B.1/221
C.4/663
D.103/663

Answer 1

For the first draw, the probability of an ace is ( 4 / 52 ).

Now there are only 51 cards left in the deck.

For the second draw, the probability of a king is  ( 4 / 51 ).

The probability of both events is

(4/52) (4/41) = (16/2,652)

Divide top and bottom by 4:

(16/2,652) = 4/663 .  That's choice-C .