placement center has requests from five students for Interviews regarding employ

Question

placement center has requests from five students for Interviews regarding employment with a particular consuiting fim. Three of these students are math majors, ang the other te sbudents are statistics majors. Unfortunatey, the interviewer has tme to talk to only tws of the students; these two will be randomly selected from among the ve. (a) What is the probability that both selected students are statistics majors (b) 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? () what is the probability that the selected stusderts have eeret major Need Help Anwer Save Progross Practice Another Version

Explanation / Answer

Two out of the five students can be selected in 5C2 = 10 ways

(a) No. of ways in which both selected students are statistics major = 2C2 × 3C0 = 1

Thus, required probability = 1/10 = 0.1

(b)No. of ways in which both students are math major = 3C2 × 2C0 = 3

Thus, required probability = 3/10 = 0.3

(c) For atleast one student to be statistic major, no. of ways = 2C1 × 3C1 + 2C2 × 3C0 = 7

Thus, required probability = 7/10 = 0.7

(d)For selected students to have different majors, no. of ways = 2C1 × 3C1 = 6

Thus, required probability = 6/10 = 0.6

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