If I apply to one college with a 25% chance of being accepted and 40% of the student body is female and 20% of the student body is Asian, what is the probability of acceptance for an Asian female to be accepted to this college?
I believe these events are all independent of each other, so would the probability = (.25)x(.4)x(.2) = 2% or is the probability = (1-.25)x(1-.4)x(1-.2) = 36%? Or do I need to use conditional probabilities? Or am I totally off the path here?
Any guidance would help out tremendously and would be greatly appreciated. Thank you.