Use the general multiplication rule to 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.
A) $\frac { 13 } { 102 }$
B) $\frac { 2 } { 13 }$
C) $\frac { 4 } { 663 }$
D) $\frac { 1 } { 663 }$

Question

Use the general multiplication rule to 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. 
A) $\frac { 13 } { 102 }$
B) $\frac { 2 } { 13 }$
C) $\frac { 4 } { 663 }$
D) $\frac { 1 } { 663 }$

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. Using the general multiplication rule, the combined probability is $\frac{4}{52} \times \frac{4}{51} = \frac{16}{2652} = \frac{4}{663}$.

Use the General Multiplication Rule to Find the Indicated Probability 13102\frac { 13 } { 102 }10213​

Use the General Multiplication Rule to Find the Indicated Probability $\frac { 13 } { 102 }$