Solve the problem.
-If you are dealt two cards successively (without replacement)from a standard 52-card deck, find the probability of getting a king on the first card and a queen on the second.
A) $\frac { 4 } { 663 }$
B) $\frac { 13 } { 102 }$
C) $\frac { 1 } { 663 }$
D) $\frac { 2 } { 13 }$

Question

Solve the problem.
-If you are dealt two cards successively (without replacement)from a standard 52-card deck, find the probability of getting a king on the first card and a queen on the second. 
A) $\frac { 4 } { 663 }$
B) $\frac { 13 } { 102 }$
C) $\frac { 1 } { 663 }$
D) $\frac { 2 } { 13 }$

Quizplus · Accepted Answer

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

Solve the Problem 4663\frac { 4 } { 663 }6634​ B) 13102\frac { 13 } { 102 }10213​

Solve the Problem $\frac { 4 } { 663 }$ B) $\frac { 13 } { 102 }$