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LeroyAndr LeroyAndr Jan 8, 2021

1. In a sample study of 300 students, it was found that240 students were interested in mathematics. If astudent is selected at random, then the probabilitythat the student is not interested in mathematics is(a) 0.5(c) 0.2(b) 0.8(d) 0.4​

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Answer:

Number of students studied accounts only = 20 ,  Number of students studied at least one of these subjects=  360 & Number of students studied all of these subjects = 40

Total Students T = 400

Study Mathematics  M = 240

Study Statistics  S = 180

Study Accounts  A = 140

Study Mathematics & Statistics = M ∩ S =  80

Study Mathematics & Accounts = M ∩ A =  100

Study Accounts & Statistics = A ∩ S =  60

None of the Subjects N = 40

Study all three Subjects  = M ∩ S ∩ A

T = M + S + A - M ∩ S - M ∩ A - A ∩ S   +  M ∩ S ∩ A   +  N

=> 400 = 240 + 180 + 140 - 80 - 100 - 60  + M ∩ S ∩ A + 40

=> M ∩ S ∩ A  = 40

Number of students studied all of these subjects = 40

Number of students studied accounts only = A - M ∩ A - A ∩ S +  M ∩ S ∩ A

= 140 - 100 - 60 + 40

= 20

Number of students studied accounts only = 20

Number of students studied at least one of these subjects=  Total - None

= 400 - 40

= 360

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Kuchumeev Kuchumeev
Jan 8, 2021
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