In a certain college, 4% of boys and 1% of girls are taller than 1.75 meters. Furthermore, 60% of the students are girls. If a student is selected at random and is taller than 1.75 meters, what is the probability that the selected student is a girl?
Let, T :students taller than 1.75
B : Boys in class
G : Girls in class
We want to find P(G|T), i.e. probability that selected taller is a girl
Conclusion : Therefore, the probability of selected taller student is a girl is