OP you are oversimplifying statistics in a harmful way. Just because a school has a 3% acceptance rate doesn't mean YOU have a 3% chance of getting in. For example, let's say the guy toward the bottom of your college class, Bob, graduates with a B- average, tanks the MCAT, has weak ECs, and isn't a great interviewee. He doesn't ave a 3% chance of getting in, he has a 0%. doesn't matter if he applies to 120 med schools, his odds stay zero. Similarly, the guy at the top of your class, Steve, has a 4.0/40, great ECs, and is a blast at interviews. He has a 90% chance of getting in. Doesn't matter if he applies to one school or 120 he's getting into most. Thus you see the 3% isn't relevant. That's just the resultant odds when you average out all the Bobs and Steves of the world. So applying to more programs doesn't necessarily improve your odds, just widens your circle of shame.