100 students appeared for two examinations. 60 passed the first, 50 passed the second and 30 passed both. Find the probability that a student selected at random has passed at least one examination.

100 students appeared for two examinations .60 passed the first , 50 passed the second and 30 passed both . Find the probability that a student selected at random has failed in both examinations .

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 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.

A class has 20 girls and 16 boys. One student is selected at random. Find the probability that the student is a girl.

Two third of the students of a class are boys and rest are girls . It is known that the probability of a girl getting a first division in Board examination is 0.4 and a boy getting first division is 0.35. Find the probability that a students chosen at random will get first division in Board examination.

In a class of 10 student, probability of exactly I students passing an examination is directly proportional to i^(2). Then answer the following questions: If a students selected at random is found to have passed the examination, then the probability that he was the only student who has passed the examination is

There are n students in a class. Ler P(E_lambda) be the probability that exactly lambda out of n pass the examination. If P(E_lambda) is directly proportional to lambda^2(0lelambdalen) . If a selected student has been found to pass the examination, then the probability that he is the only student to have passed the examination, is

In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing at least one of them is 0.95. What is the probability of passing both?

In an entrance test that is graded on the basis of two examinations, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing atleast one of them is 0.95. What is the probability of passing both?

The probability that a student will pass his examination is 0.73, the probability of the student getting a compartment is 0.13 and the probability that the student will either pass or get compartment is 0.96.