PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions for Mathematics

A card is drawn from a deck of 52 cards. Find the probability of getting an ace or a spade card.

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?

100 students appeared for two examination, 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.

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?

One of the two events must occur. If the chance of one is 2/3 of the other, then odds in favour of the other are

The probability that a leap year will have 53 Fridays or 53 Saturdays is

A person write 4 letters and addresses 4 envelopes. If the letters are placed in the envelopes at random, then the probability that all letters are not placed in the right envelopes, is

A and B are two events such that P (A) = 0.25 and P (B) = 0.50. The probability of both happening together is 0.14. The probability of both A and B not happening is

If the probability of A to fail in an examination is \[\frac{1}{5}\]  and that of B is \[\frac{3}{10}\] . Then, the probability that either A or B fails is

A box contains  10 good articles and 6 defective articles. One item is drawn at random. The probability that it is either good or has a defect, is

Three integers are chosen at random from the first 20 integers. The probability that their product is even is

Out of 30 consecutive integers, 2 are chosen at random. The probability that their sum is odd, is

A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected randomwise, the probability that it is black or red ball is

Two dice are thrown simultaneously. The probability of getting a pair of aces is

An urn contains 9 balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of the same colour is

Five persons entered the lift cabin on the ground floor of an 8 floor house. Suppose that each of them independently and with equal probability can leave the cabin at any floor beginning with the first, then the probability of all 5 persons leaving at different floor is

A box contains 10 good articles and 6 with defects. One item is drawn at random. The probability that it is either good or has a defect is

A box contains 6 nails and 10 nuts. Half of the nails and half of the nuts are rusted. If one item is chosen at random, the probability that it is rusted or is a nail is

One mapping is selected at random from all mappings of the set A = {1, 2, 3, ..., n} into itself. The probability that the mapping selected is one to one is