Solve the problem.
-If two cards are drawn without replacement from a deck, find the probability that the second card Is red, given that the first card was a heart.
A) $\frac { 12 } { 51 }$
B) $\frac { 25 } { 51 }$
C) $\frac { 26 } { 51 }$
D) $\frac { 22 } { 23 }$

Question

Solve the problem.
-If two cards are drawn without replacement from a deck, find the probability that the second card Is red, given that the first card was a heart. 
A) $\frac { 12 } { 51 }$
B) $\frac { 25 } { 51 }$
C) $\frac { 26 } { 51 }$
D) $\frac { 22 } { 23 }$

Quizplus · Accepted Answer

Given that the first card drawn is a heart, it is removed from the deck, leaving 51 cards. Since all hearts are red and one has been removed, there are 25 red cards left (13 hearts initially - 1 heart drawn + 12 diamonds). Therefore, the probability the second card is red is $\frac{25}{51}$.

Solve the Problem 1251\frac { 12 } { 51 }5112​ B) 2551\frac { 25 } { 51 }5125​

Solve the Problem $\frac { 12 } { 51 }$ B) $\frac { 25 } { 51 }$