Find the 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.
A) $\frac { 2 } { 13 }$
B) $\frac { 1 } { 663 }$
C) $\frac { 13 } { 102 }$
D) $\frac { 4 } { 663 }$

Question

Find the 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. 
A) $\frac { 2 } { 13 }$
B) $\frac { 1 } { 663 }$
C) $\frac { 13 } { 102 }$
D) $\frac { 4 } { 663 }$

Quizplus · Accepted Answer

The probability of drawing a king first is $ \frac{4}{52} $ since there are 4 kings in a deck of 52 cards. After drawing a king, there are 51 cards left, and the probability of drawing a queen next is $ \frac{4}{51} $ since there are 4 queens in the remaining deck. Multiplying these probabilities gives $ \frac{4}{52} \times \frac{4}{51} = \frac{16}{2652} = \frac{4}{663} $.

Find the Probability -You Are Dealt Two Cards Successively (Without Replacement) from a Shuffled

Find the Probability
-You Are Dealt Two Cards Successively (Without Replacement) from a Shuffled