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 tive academic departments: biology (B), chemistry (C), mathematics (M), physics (P), and statistics (S). 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, ixing, and drawing out two of them) a) What are the 10 possible outcomes (simple events)? (b) From the description of the selection process, all outcomes are equally likely; what is the probability of each simple event? (c) What Is the probabllity that one of the committee members is the mathematics department representative? (d) What is the probability that both committee members come from laboratory science departments?

Explanation / Answer

(a) 10 possible outcomes = {(B,C), (B,M), (B,P),(B,S), (C,M), (C,P),(C,S),(M,P),(M,S),(P,S)} Option C is correct.

(B) Pr(Each event) = 1/10 [ as there are 10 events]

(C) HEre there are 4 mathematics representative.

Pr(One of them is mathematician) = 4/10 = 0.4

(D) Here biology, chemistry and physics are laboratery science departmets so we have to find that both of them are from these departments.

Sample space of this evet : {(B,C), (B,P),(C,P)}

so Pr(event) = 3/10 = 0.3

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