KCET 2021 Math Solved Paper

Let E= the event that the car is of standard quality.
Let A1= the event that the car is manufactured in plant X.
and A2= the event that the car is manufactured in plant Y.
Now, P(A1)=

70

100

=

7

10

,P(A2)=

30

100

=

3

10

P(

E

A1

)= Probability that a standard quality car is
manufactured in plant X=

80

100

=

8

10

P(

E

A2

)= Probability that a standard quality car is
manu factured in blant Y=

90

100

=

9

10

P(

A1

E

)= Probability that a standard quality car
has come from plant X
=

P(A1)×P( E A1 )

P(A1).P( E A1 )+P(A2).P( E A2 )

=

7 10 × 8 10

7 10 × 8 10 + 3 10 × 9 10

=

7×8

7×8+3×9

=

56

56+27

=

56

83

Hence, the required probability is

56

83

.