Suppose you randomly choose two cards from a thoroughly shuffled deck. If you put the first card back in the deck before you draw the second, what is the probability that the first card is an ace and the second card is a king?
A)2/13
B)1/169
C)1/221
D)3/676

Question

Quizplus · Accepted Answer

The probability of drawing an ace on the first draw is 4/52 (or 1/13), since there are four aces in a deck of 52 cards. Then, you return the ace to the deck, so there are still 52 cards in the deck for the second draw. The probability of drawing a king on the second draw is 4/52 (or 1/13), since there are four kings in a deck of 52 cards. 
To find the probability of both events happening together, we need to multiply the probability of the first event by the probability of the second event, which gives us:
(1/13) * (1/13) = 1/169
So the answer is B.

Suppose You Randomly Choose Two Cards from a Thoroughly Shuffled