If the probability of me getting into Dartmouth is 0.3 and the probability of me getting into Cornell is 0.3, what is the probability that I will get into at least one of the schools?
I believe the answer is simply .3 + .3 - (.3 * .3) = .51
However, my professor is saying these two events aren't independent and therefore we can't answer the question.
I'm not clear on why these aren't independent. Of course each school is looking for similar things, but the acceptance of one school does NOT affect the acceptance of another. Therefore they are independent! (That's my thought process)
Where am I incorrect? The professor is a harvard PHD so I'm assuming I'm wrong but I need to understand why.