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Probability

In a survey, ...

Question

In a survey, out of 200 students, it is observed that 125 students like mathematics. What is the probability of the students who do not like mathematics?

A

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B

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C

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D

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Solution

The correct option is C

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Q. To know the opinion of the students about Mathematics, a survey of 200 students was conducted. The data is recorded in the following table:

Opinion:	Like	Dislike
Number of students:	135	65

Find the probability that a student chosen at random (i) likes Mathematics (ii) does not like it.

A survey shows that out of 40 students in a class, 30 students like studying mathematics. That means ___% of students like studying Mathematics.

Q. In the question given, there are four statements which are to be taken as truth even if they do not seem to be so. There are conclusions numbered I, II, III and IV. Decide which of these logically follow from the given statements.
All students who like English also like Mathematics. Some students like Hindi.
All students who like Hindi do not like mathematics. Students who like Mathematics also like English.
I. Students who like Hindi also like English.
II. Students who like Mathematics also like Hindi.
III. Students who like Mathematics do not like Hindi.
IV. Students who like English do not like Hindi.

To know the opinion of the students about Mathematics, a survey of $200$ students was conducted.The data is recorded in the following table:

$\begin{matrix} Opinion & Like & Dislike Number of students & 135 & 65 \end{matrix}$

Find the probability that a student is chosen at random

(i) likes Mathematics (ii) does not like it.

100

students in a certain class,

70

students like Mathematics,

40

students like Science and

15

students like both Mathematics and Science. A student is selected at random. Find the probability that the student likes Mathematics or Science.

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