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There are 20 girls and 60 boys in a class. Half of the girls and half of the boys are first class students. A student ¡s selected at random. What is the probability that the student ¡s either a boy or a first class holder.

Select the correct answer from above options

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n(S) = 20 + 60 = 80

Let A: student is a boy n(A) 60

P(A) =   

60

80

60

 =

3

4

3

Let B: student is a class holder

1 class = 30 boys + lo girls = 40

P(B) =

40

80

40

 =

1

2

1

Let (A ∩ B) = n(Student is a boy and I class holder) = 30

P(A) = (A ∩ B) =

30

80

30

 =

3

8

3

∴ P(Student is a boy of first class holder)

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