1) 200 students in a high school senior class are surveyed about what majors they intend
to declare in college. Of the 200 students, 90 plan to major in mathematics, 110 plan to
major in computer science, and 35 plan to pursue a double major in mathematics and
computer science.
Using this information, answer each of the following questions. Let M be the event that a
randomly selected student plans to major in mathematics and C be the event that a
randomly selected student plans to major in computer science.
a) What is P(M), the probability that a student plans to major in mathematics?
b) What is P(C), the probability that a student plans to major in computer science?
c) What is P(M and C), the probability that a student has decided to major in
mathematics and computer science?
d) What is P(M or C), the probability that a student has chosen to major in
mathematics or computer science?