200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200200 students, 8080plan to major in mathematics, 100100 plan to major in computer science, and 3030 plan to pursue a double major in mathematics andcomputer science. Using this information, answer each of the following questions.
Let MM be the event that a randomly selected student plans to major in mathematics and CC be the event that a randomly selected student plans to major in computer science.
What is P(M)P(M), the probability that a student plans to major in mathematics?
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What is P(C)P(C), the probability that a student plans to major in computer science?
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What is P(Mtext{ and }C)P(M and C), the probability that a student has decided to major in mathematics and computer science?
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What is P(Mtext{ or }C)P(M or C), the probability that a student has chosen to major in mathematics or computer science?
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