Question

In a survey of 100 cars, 45 were silver, 13 were blue and 30 were red. Express each of the numbers as a fraction and decimal of the total

Answer 1

Answer:

Let U be the set of all students who took part in the survey.

Let T be the set of students taking tea.

Let C be the set of students taking coffee.

n(U)=600,n(T)=150,n(C)=225,n(T∩C)=100

To find: Number of student taking neither tea nor coffee i.e., we have to find n(T

′

∩C

′

).

n(T

′

∩C

′

)=n(T∪C)

′

=n(U)−n(T∪C)

=n(U)−[n(T)+n(C)−n(T∩C)]

=600−[150+225−100]

=600−275

=325