Probability Practice Questions
☰

Probability Practice Questions

Chapter 13 Probability Practice Questions

NCERT Solutions for Class 12 Maths – Probability Practice Questions

  1. A fair coin is tossed three times. What is the probability of getting exactly two heads?
  2. An urn contains 4 red balls and 6 blue balls. If two balls are drawn at random without replacement, what is the probability that both are red?
  3. A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If a marble is drawn at random from the bag, what is the probability of drawing a green marble?
  4. A standard deck of cards contains 52 cards. What is the probability of drawing a spade or a heart?
  5. In a class of 30 students, 18 students play football and 12 students play basketball. If one student is selected at random from the class, what is the probability that the student plays football?
  6. A box contains 6 white balls, 4 black balls, and 5 red balls. If one ball is drawn at random from the box, what is the probability that it is either white or black?
  7. A company produces laptops with a defect rate of 5%. If 20 laptops are randomly selected from the production line, what is the probability that at least one of them has a defect?
  8. A committee of 5 people is formed randomly from a group of 8 men and 6 women. What is the probability that the committee consists of at least 3 women?
  9. In a game, a fair six-sided die is rolled twice. What is the probability that the sum of the numbers rolled is 7?
  10. A bag contains 8 red balls and 4 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are blue?
  11. An experiment consists of spinning a spinner with 8 equally likely outcomes numbered from 1 to 8. What is the probability of getting an odd number?
  12. A jar contains 3 red balls, 4 green balls, and 5 blue balls. If two balls are drawn at random without replacement, what is the probability that both balls are green?
  13. A coin is flipped three times. What is the probability of getting at least two heads?
  14. In a game, a fair six-sided die is rolled twice. What is the probability that the first roll is a 4 and the second roll is a 3?
  15. A box contains 5 black pens, 3 blue pens, and 4 red pens. If one pen is drawn at random from the box, what is the probability that it is not black?

Probability Practice Answers

  1. 3/8
  2. 2/15
  3. 3/10
  4. 1/2
  5. 3/5
  6. 5/15 or 1/3
  7. 0.6157 or 61.57%
  8. 0.5725 or 57.25%
  9. 5/36
  10. 1/11
  11. 4/8 or 1/2
  12. 4/33
  13. 7/8
  14. 1/36
  15. 7/12