Consider the Venn diagram below. Each of the dots outside the circle represents a university that was polled. In this experiment, 10 universities were asked about their academic programs. Five of the universities are public universities: represented by red dots and labeled: 1,2,3,4,5 (abbreviated U);

 Consider the Venn diagram below. Each of the dots outside the circle represents a university that was polled. In this experiment, 10 universities were asked about their academic programs.

Five of the universities are public universities: represented by red dots and labeled: 1,2,3,4,5 (abbreviated U);
Five of the universities are private universities: and are represented by blue dots: 1,2,3,4,5 (abbreviated P).
The two events represented in the Venn diagram are:

Event A: The university offers a masters degree program.
Event B: The majority of a university's students are health science majors.
Universities U1,U3,U5,P1, and P2 say that the they offer a masters degree program. Universities U2,U4 and P2 say that the majority of their students are health science majors. P3,P4 and P5 say that neither of these options apply to them.

Place the dots in the appropriate event given the information above (you may not use all of the dots), then determine if the events are mutually exclusive.