7 Probability

  1. A bag contains 3 red, 6 white and 7 blue balls. What is the probability that two balls drawn at random are one is white and other is blue?

  2. A committee of five persons is to be made from 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consist of 3 men and 2 women?

  3. A bag contains 6 red and 5 blue balls. If 2 of them are drawn at random, what is the probability that one is red and one is blue?

  4. From a pack of 17 cards numbered from 1 to 17, one is drawn at random. What is the probability that the number on that card is divisible by 3 or 7.

  5. A candidate is appearing for two examinations A and B. Probability that he will pass the exam A is 3/5 and probability of passing B is 1/3. The probability that he will pass both exams is 1/8. What is the probability that the candidate will pass the either exam A or B?

  6. Tickets were numbered from 1 to100. They are well shuffled and a ticket is drawn at random. Find the probability that ticket drawn is

(a) an even number

(b) a number 5 or multiple of 5

(c) a number greater than 75

(d) a number which is a square

  1. 20 candidates appear in two examinations A and B. Eight passed exam A, Seven passed exam B, Eight failed in both A and B. If one candidate is selected at random, find the probability that

(a) Passed both exam A and B.

(b) Failed only in A

(c) Failed in A or B