Find the probability.
-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) $\frac { 1 } { 204 }$
B) $\frac { 13 } { 204 }$
C) $\frac { 1 } { 16 }$
D) $\frac { 1 } { 169 }$

Question

Find the probability.
-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) $\frac { 1 } { 204 }$
B) $\frac { 13 } { 204 }$
C) $\frac { 1 } { 16 }$
D) $\frac { 1 } { 169 }$

Quizplus · Accepted Answer

The probability of drawing a heart from a standard 52-card deck is $\frac{13}{52}$ or $\frac{1}{4}$, since there are 13 hearts in the deck. Since the card is replaced, the deck is back to its original composition for the second draw. The probability of drawing a diamond on the second draw is also $\frac{13}{52}$ or $\frac{1}{4}$, as there are 13 diamonds in the deck. The probability of both events happening is the product of their individual probabilities: $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$.

Find the Probability 1204\frac { 1 } { 204 }2041​ B) 13204\frac { 13 } { 204 }20413​

Find the Probability $\frac { 1 } { 204 }$ B) $\frac { 13 } { 204 }$