Find the indicated probability.
-You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a King and the second card is a queen. Express your answer as a simplified fraction.

A) $\frac { 2 } { 13 }$

B) $\frac { 13 } { 102 }$

C) $\frac { 4 } { 663 }$

D) $\frac { 1 } { 663 }$

Question

Find the indicated probability.
-You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a King and the second card is a queen. Express your answer as a simplified fraction.

A) $\frac { 2 } { 13 }$

B) $\frac { 13 } { 102 }$

C) $\frac { 4 } { 663 }$

D) $\frac { 1 } { 663 }$

Quizplus · Accepted Answer

The probability of drawing a King first is $ \frac{4}{52} $. After drawing a King, there are 51 cards left, and the probability of drawing a Queen is $ \frac{4}{51} $. Thus, the probability is $ \frac{4}{52} \times \frac{4}{51} = \frac{16}{2652} = \frac{4}{663} $.

Find the Indicated Probability 213\frac { 2 } { 13 }132​

Find the Indicated Probability $\frac { 2 } { 13 }$