Question

in a survey of 600 students, only 260 likes mathematics. find the probability that a student selected at random like mathematics​

Answer 1

Answer:

Total no. of outcomes = 600

No. of favourable outcomes = 260

Probability  of  selecting a maths student = 260/600 = 13/30

___________

+++______+++

Answer 2

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(T∪C) =n(U)−n(T∪C)

=n(U)−[n(T)+n(C)−n(T∩C)]

=600−[150+225−100]

=600−275

=325

Hence, 325 students were taking neither tea nor coffee.

Explanation:

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