250 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 250 students
, 100 plan to major in mathematics, 80 plan to major in computer science and 20 plan to pursue a double major in mathematics and computer science. Let M be the even 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.
What is P(M), the probability that a student plans to major in mathematics?
What is P(C), the probability that a student plans to major in computer science?
What is P(M and C), the probability that a student decided to major in mathematics and computer science?
What is P(M or C), the probability that a student has chosen to major in mathematics or computer science?
Answer: Program C allows students to earn a Mathematics degree (B.A. or B.S.) by combining courses in the Department of Mathematics with courses from one other department. In most areas of specializations, mathematical and/or quantitative courses in other departments are part of the math degree program. All Program C students take a minimum of five core math courses: Calculus I, Calculus II, Calculus III, Introduction to Linear Algebra, and a proofs course, usually either Introduction to Abstract Algebra or Fundamental Properties of Spaces and Functions I.
