In a class of 40 students, 22 are women, 10 are earning an A, and 7 are women that are earning an A. If a student is randomly selected from the class, find the probability that the student is earning
An A given that the student is a woman.
A) $\frac { 7 } { 40 }$
B) $\frac { 5 } { 11 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 7 } { 22 }$

Question

In a class of 40 students, 22 are women, 10 are earning an A, and 7 are women that are earning an A. If a student is randomly selected from the class, find the probability that the student is earning
An A given that the student is a woman. 
A) $\frac { 7 } { 40 }$
B) $\frac { 5 } { 11 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 7 } { 22 }$

Quizplus · Accepted Answer

The probability that a student is earning an A given that the student is a woman is calculated using the formula for conditional probability: P(A|B) = P(A and B) / P(B). Here, A is the event of earning an A, and B is the event of being a woman. There are 7 women earning an A out of 22 women in total, so the probability is $\frac { 7 } { 22 }$.

In a Class of 40 Students, 22 Are Women, 10 740\frac { 7 } { 40 }407​

In a Class of 40 Students, 22 Are Women, 10 $\frac { 7 } { 40 }$