To know the opinion of the students about Mathematics, a survey of 200 students was conducted. The data is recorded in the following table:   Find the probability that a student chosen at random (i)  likes Mathematics     (ii) does not like it.

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 No. of students 135 65 Find the probability that a student chosen at random (i) like Mathematics (ii) does not like it.

In a class of 125 students 70 passed in Mathematics, 55 in statistics, and 30 in both. Then find the probability that a student selected at random from the class has passes in only one subject.

In a college, 70% students pass in Physics, 75% pass in Mathematics and 10% students fail in both. One student is chosen at random. What is the probability that: He passes in Physics and Mathematics.

In a class of 125 students 70 passed in Mathematics, 55 in statistics, and 30 in both. Then find the probability that a student selected at random from the class has passed in only one subject.

In a school, 300 students were surveyed. The survey showed that 186 students liked watching cricket match while the rest disliked it. Out of these students, if one student is chosen at random, what is the probability that the chosen student : (i) likes watching cricket match? (ii) dislikes watching cricket match?

In a college, 70% students pass in Physics, 75% pass in Mathematics and 10% students fail in both. One student is chosen at random. What is the probability that: He passes in Physics given that he passes in Mathematics.

In a school 25% students are failed in Mathematics, 15% in Physics and 5% students fail in both Mathematics and Physics. A student is selected at random. (i) If he is fail in Physics, find the probability that he is fail in Mathematics. (ii) If he is fail in Mathematics, find the probability that he in fail in Physics. (iii) Find the probability that he is fail either in Mathematics or in Physics.

In a particular section of class IX, 40 students were asked about the month of their birth and the following graph was prepared for the data so obtained. Find the probability that a student of the class was born in August.

A teacher wanted to analysis the performance of two sections of students in a mathematics test of 100 marks. Looking performance, she found that a few students got under 20 marks and a few got 70 marks or above. So she decided to group them into intervals of varying sizes as follows :(i) Find the probability that a student obtained less than 20% in the mathematics test. (ii) Find the probability that a student obtained marks 60 or above . 0-20, 20-30, ....., 60-70, 70-100. Then she formed the following table : |{:("Marks"," Number of students"),(0-20," 7"),(20-30," 10"),(30-40," 10"),(40-50," 20"),(50-60," 20"),(60-70," 15"),(70-"above"," 8"),("Total"," 90"):}|

The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth-grade students at Keisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. If there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)