Homework SourseRecords indicate that 30 of all students on a university cam
Records indicate that 30% of all students on a university campus are female, also 20% of the females ar \"A\" students, and 70% of the males are \"A\" students. If an \"A\" student is selected at ramdom, what is the probability that the student is a female?
Solution
no of females = 0.3
no of males = 0.7
no of A grade females = 0.3*0.2 =0.06
no of A grade males = 0.7*0.7 = 0.49
total no of A grade students = 0.06 + 0.49 = 0.55
probability that student is A grade female is 0.06/0.55 = 6/55 =0.118
![Records indicate that 30% of all students on a university campus are female, also 20% of the females ar \](/WebImages/3/records-indicate-that-30-of-all-students-on-a-university-cam-972759-1761499795-0.webp "Records indicate that 30% of all students on a university campus are female, also 20% of the females ar \")
