Q. 24

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Answer :

given: class consisting of 10 boys and 8 girls


three students are selected at random, total possible outcomes are 18C3

therefore n(S)=18C3

= 816

(i) let E be the event that all are boys

n(E)= 10C3


(ii) let E be the event that all are girls

n(E)= 8C3


(iii) let E be the event that one boy and two girls are selected

n(E)= 8C110C2=360

(iv) let E be the event that at least one girl is in the group

E= {1,2,3}

n(E)= 8C110C2+8C210C1+8C310C0=696

(v) let E be the event that at most one girl is in the group

E= {0, 1}

n(E)= 8C010C3+8C110C2=480

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