In a class of 130 SHS students, 41 offers agricultural science, 62 offers business and 31 offer visual art. 16 of these students offer both agricultural science and business only and 14 offers both business and visual arts only. Assuming none of the students offers all the three subjects. i) illustrate the information on a Venn diagram ii) find the number of students who offer a) only agricultural science, only business and only visual art respectively  b) only two subjects  c) only one subject

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 36E
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In a class of 130 SHS students, 41 offers agricultural science, 62 offers business and 31 offer visual art. 16 of these students offer both agricultural science and business only and 14 offers both business and visual arts only. Assuming none of the students offers all the three subjects.

i) illustrate the information on a Venn diagram

ii) find the number of students who offer

a) only agricultural science, only business and only visual art respectively 

b) only two subjects 

c) only one subject

iii) what is the probability of selecting a student at random from the class who offers neither of the subjects?

 

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