The student council for a school of science and math has one representative from

Question

The student council for a school of science and math has one representative from each of the five academic departments: biology (B), Two of these students are to be randomly selected for inclusion on a university-wide student committee (by placing five slips of paper in a bowl, mixing, and drawing out two of them) chemistry (C), mathematics (M), physics (P), and statistics (S). (a) What are the 10 possible outcomes (simple events)? 0{(B, c), (B, M). (B, P), (B, B), (c, M. (C. P). (C, C), 04, P. (M, s), (RS)? (b) From the description of the selection process, all outcomes are equaly skely; what is the probability of each simple even (c) What is the probability that one of the committee members is the physies department representative? (d) what is the probability that both committee members come from iaboratory science departments ?

Explanation / Answer

a)here as experiment is done without replacement

possible outcomes: {(B,C),(B.M),(B,P),(B,S),(C,M),(C,P),(C,S),(M,P),(M,S),(P,S)} (2nd option is correct

b)

probability =1/10=0.1

c)probability=4/10=0.4

d)( here please confirm that laboratory science departments are biology; chemistry and Physics

hence probability=3/10=0.3

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