In a class 30% students failed in English, 20% students failed in Hindi, 10% students failed in English and Hindi both.A student is chosen at random. What is the probability that he will fail in English if he has failed in Hindi?

In a class of 60 students 40 passed in English, 35 failed in Mathematics. How many students passed both in English and Mathematics.

In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English newspapers. A student is selected at random. (a) Find the probability that she reads neither Hindi nor English newspapers. (b) If she reads Hindi newspaper, find the probability that she reads English newspaper (c) If she reads English newspaper, find the probability that she reads Hindi newspaper.

In a hostel, 60% of the students read Hindi newspaper, 40% read English news, paper and 20% read both Hindi and English newspapers. A student is selected at random. i. Find the probability that she reads neither Hindi nor English nespapers. ii. If she reads Hindi newspaper, find the probability that she reads English newspaper. iii. If she reads English newspaper, find the probability that she reads Hindi newspaper.

There are 20 boys and 15 girls in a class of 35 students . A student is chosen at random . Find the probability that the chosen student is a (i) boy (ii) girl .

In a class 40% of the students participated in Mathematics-quiz, 30% in Science-quiz and 10% in both the quiz programmes. If a students is selected at random from the class, find the probability that the students participated in Mathematics or science or both quiz programmes.

The probability that a student selected at random from a class will pass in Mathematics is 2/3 and the probability that he passes in Mathematics and English is 1/3 . What is the probability that he will pass in English if it is known that he has passed in Mathematics ?

In Class XI of a school 40 % of the students study Mathematies and Biology. If a student is selected at random from the class, find the probability that he will be studying Mathemetics or Biology.

The probability that a teacher will give a surprise test during any class is 1/5. If a student is absent on two day what is the probability that he will miss atleast one test.

In an examination 50% of the students passed in Mathematics and 70% of students passed in Science while 10% students failed in both subjects. 300 students passed in atleast one subjects. Find the total number of students who appeared in the examination, if they took examination in only two subjects.