The same issue of The Chronicle for Higher Education Almanac referenced in the previous exercise also reported the following information for Ph.D. degrees awarded by U.S. colleges in the 2013–2014 academic year:

● A total of 54,070 Ph.D. degrees were awarded.

● 12,504 of these degrees were in the life sciences.

● 9859 of these degrees were in the physical sciences.

● The remaining degrees were in majors other than life or physical sciences.

What is the probability that a randomly selected Ph.D. student who received a degree in 2013–2014

a. received a degree in the life sciences?

b. received a degree that was not in a life or a physical science?

c. did not receive a degree in the physical sciences?