Question

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

Answer 1

Answer:

Step-by-step explanation:

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

Step-by-step explanation:

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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Answer 2

Answer:

I hope it will help you