A card is chosen from a deck of 52 cards and then placed back in the deck, and a second card is chosen. What is the probability of drawing 2 queens?
A) $\frac { 1 } { 185 }$
B) $\frac { 1 } { 39 }$
C) $\frac { 1 } { 24 }$
D) $\frac { 1 } { 169 }$
E) $\frac { 1 } { 165 }$

Question

Quizplus · Accepted Answer

The probability of drawing a queen on the first draw is $\dfrac{4}{52} = \dfrac{1}{13}$. Since we replace the card we drew, the probability of drawing another queen on the second draw is also $\dfrac{1}{13}$. To find the probability of both events happening, we multiply the individual probabilities: $$\frac{1}{13} 	imes \frac{1}{13} = \frac{1}{169}$$Therefore, the answer is $\boxed{	extbf{(D)}\ \frac{1}{169}}.$

A Card Is Chosen from a Deck of 52 Cards 1185\frac { 1 } { 185 }1851​

A Card Is Chosen from a Deck of 52 Cards $\frac { 1 } { 185 }$