Solve the problem.
-If you are dealt two cards successively (with replacement of the first)from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.
A) $\frac { 13 } { 204 }$
B) $\frac { 1 } { 169 }$
C) $\frac { 1 } { 16 }$
D) $\frac { 1 } { 204 }$

Question

Solve the problem.
-If you are dealt two cards successively (with replacement of the first)from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second. 
A) $\frac { 13 } { 204 }$
B) $\frac { 1 } { 169 }$
C) $\frac { 1 } { 16 }$
D) $\frac { 1 } { 204 }$

Quizplus · Accepted Answer

The probability of drawing a heart from a standard deck is $\frac{13}{52}$ or $\frac{1}{4}$, and the probability of drawing a diamond, also from a standard deck, is the same, $\frac{13}{52}$ or $\frac{1}{4}$. Since the draws are independent (the first card is replaced), the combined probability is the product of the two individual probabilities: $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$.

Solve the Problem 13204\frac { 13 } { 204 }20413​ B) 1169\frac { 1 } { 169 }1691​

Solve the Problem $\frac { 13 } { 204 }$ B) $\frac { 1 } { 169 }$