A dormitory on campus houses 200 students. 120 students are male, 50 are upper division students, and 40 are upper division male students. A student is selected at random. The probability of selecting a lower division student, given the student is a female, is
There is a total of 200 students.
120 students are male ---> 80 students are female
50 are upper division student ---> 150 are lower division students
40 are upper division male students ---> 10 are upper division female students
---> 80 are lower divison male students
---> 70 are lower division female
The probability of selecting a lower division student given the student is a female:
= 70 / 80 = 0.875