Question

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

Opinion	Number of students
Like	$135$
Dislike	$65$
Total	$200$

Find the probability that a student is chosen at random like mathematics.

Answer 1

Hint:
We are given likes and dislikes of the subject mathematics of students. So, to find the probability of the students who like mathematics will be total likes by the total number of students. Try it, you will definitely get the answer.

Complete step by step solution:
Here, we are given that a survey of $200$ students was conducted i.e. the total number of students are $200$.
We can see in the above table that the number of students who like mathematics is $135$.
So, the probability that a student is chosen at random likes mathematics is the number of students who like mathematics to the total number of students.
Probability of student chosen at random like mathematics $=\dfrac{135}{200}$.
Simplifying in a simple manner we get,
Probability of student chosen at random like mathematics$=\dfrac{27}{40}$.

Therefore, the probability that student is chosen at random like mathematics is $\dfrac{27}{40}$.

Additional information:
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes. Probability is a measure of the likelihood of an event to occur.

Note:
We have used a simple probability concept, the probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.