$200$ students in a high school senior class are surveyed about what majors they intend to declare in college. Of the $200$ students, $80$ plan to major in mathematics, $100$ plan to major in computer science, and $30$ 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. **What is $P(M)$, the probability that a student plans to major in mathematics?** [[☃ input-number 1]] **What is $P(C)$, the probability that a student plans to major in computer science?** [[☃ input-number 2]] **What is $P(M\text{ and }C)$, the probability that a student has decided to major in mathematics *and* computer science?** [[☃ input-number 3]] **What is $P(M\text{ or }C)$, the probability that a student has chosen to major in mathematics *or* computer science?** [[☃ input-number 4]]