A student placement center has requests from five students for employment interviews. Three of these students are math majors, and the other two students are statistics majors. Unfortunately, the interviewer has time to talk to only two of the students. These two will be randomly selected from among the five.
a. What is the sample space for the chance experiment of selecting two students at random? (You can think of the students as being labeled A, B, C, D, and
e. One possible selection of two students is A and
b. There are nine other possible selections to consider.)
b. Are the outcomes in the sample space equally likely?
c. What is the probability that both selected students are statistics majors?
d. What is the probability that both students are math majors?
e. What is the probability that at least one of the students selected is a statistics major?
f. What is the probability that the selected students have different majors?