In a second grade class containing 15 girls and 11 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a
Boy, given that the first one was a girl?
A) $\frac { 15 } { 26 } \cdot \frac { 11 } { 25 }$
B) $\frac { 11 } { 26 }$
C) $\frac { 11 } { 25 }$
D) $\frac { 15 } { 26 } \cdot \frac { 3 } { 5 }$

Question

In a second grade class containing 15 girls and 11 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a
Boy, given that the first one was a girl? 
A) $\frac { 15 } { 26 } \cdot \frac { 11 } { 25 }$
B) $\frac { 11 } { 26 }$
C) $\frac { 11 } { 25 }$
D) $\frac { 15 } { 26 } \cdot \frac { 3 } { 5 }$

Quizplus · Accepted Answer

After the first girl is chosen, there are 25 students left (15-1 girls + 11 boys = 25 students). The probability that the next student chosen is a boy is 11 out of these 25, which simplifies to $\frac{11}{25}$.

In a Second Grade Class Containing 15 Girls and 11 1526⋅1125\frac { 15 } { 26 } \cdot \frac { 11 } { 25 }2615​⋅2511​

In a Second Grade Class Containing 15 Girls and 11 $\frac { 15 } { 26 } \cdot \frac { 11 } { 25 }$