Question

In a class of 25 students, 13 are female and 15 have an A in the class. There are 10 students who are female and have an A in the class. What is the probability that a student has an A given that the student is female?

Answer 1

Explanation:

a probability is always

desired cases / totally possible cases

25 students in total.

13 are female. therefore, 25-13 = 12 students are male.

15 students have an A.

10 students are female and have an A.

therefore, 15-10 = 5 male students have an A.

"given that a student is female".

this reduces our totally possible cases to 13.

so, the probability that a female student has an A is

10/13 = 0.769230769...