A friend in high school wants to go to medical school, but first she will either go to a local college where she has already been accepted, or to a prestigious university. She would prefer to go to the university but feels there is only a $65 \%$ probability she will be accepted. She further thinks that if she goes to the college there is a $95 \%$ probability she will graduate and then a $50 \%$ probability she will be accepted by a medical school. If instead she goes to the university, then she feels there is a $70 \%$ probability she will graduate followed by a $75 \%$ probability she will be accepted by a medical school. Of course she has to graduate from either the college or the university to be accepted by a medical school. Use a tree diagram to determine $P$ (acceptance by a medical school).