Consider selecting a student randomly at a certain university. Suppose the proba

Question

Consider selecting a student randomly at a certain university. Suppose the probability that the student is a math major is 0.2. and the probability that the student is a biology major is 0.4. If 6% of the students major both math and biology. What is the probability that the selected student is either a math major or biology major? What is the probability that the selected student is of some other major? What is the probability that the selected student is not a double major (math and biology)? If a student is selected is a math major, what is the probability that he is not a biology major? Suppose you select two students randomly from this university, what is the probability that both of them are math majors?

Explanation / Answer

a. P(A)+P(B)-P(AnB)=P(Au B)=0.4+0.2-0.06=0.54

b. 1-P(Au B)=1-0.54=0.46

c. 1-0.06=0.94

d. 1-0.4=0.6

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