In an entrance test that is graded on the basis oftwo 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 isthe probability of passing both?

The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English examination is 0.75, what is the probability of passing the Hindi examination?

The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. if the probability of passing the English examination is 0.75, what is the probability of passing the Hindi examination?

Two students Anil and Ashima appeared in an examination. The probability that Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. Find the probability that : only one of them will qualify the examination.

Two students Anil and Ashima appeared in an examination. The probability that Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. Find the probability that : at least one of them will not qualify the examination.

It is given that in a group of 3 stundents, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

The probability of student A passing an examination is 3/7 and of student B passing is 5/7 . Assuming the two events "A passes, B passes", as independent, find the probability of : only one of them passing the examination

The probability of student A passing an examination is 3/7 and of student B passing is 5/7 . Assuming the two events "A passes, B passes", as independent, find the probability of : only A passing the examination.

The probability of student A passing an examination is 3/5 and of student B pasing is 4/5 . Assuming the two events: 'A passes', 'B passes', as independent find the probability of: only one of the two passing the examination.