Solve the problem.
-If you are dealt two cards successively (without replacement)from a standard 52-card deck, find the probability of getting a black on the first card and a heart on the second.
A) $\frac { 13 } { 102 }$
B) $\frac { 13 } { 51 }$
C) $\frac { 7 } { 51 }$
D) $\frac { 1 } { 2,652 }$

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 black on the first card and a heart on the second. 
A) $\frac { 13 } { 102 }$
B) $\frac { 13 } { 51 }$
C) $\frac { 7 } { 51 }$
D) $\frac { 1 } { 2,652 }$

Quizplus · Accepted Answer

The probability of drawing a black card first is $\frac{26}{52}$ since half of the 52 cards are black. After drawing a black card, there are 51 cards left, and 13 of them are hearts. Thus, the probability of then drawing a heart is $\frac{13}{51}$. The combined probability is the product of these two probabilities: $\frac{26}{52} \times \frac{13}{51} = \frac{1}{2} \times \frac{13}{51} = \frac{13}{102}$.

Solve the Problem 13102\frac { 13 } { 102 }10213​ B) 1351\frac { 13 } { 51 }5113​

Solve the Problem $\frac { 13 } { 102 }$ B) $\frac { 13 } { 51 }$