Exercise 14.1: Classical Probability
The biggest exercise in the book. Calculate probability for dice, cards, coins, bags of marbles, and more. Every possible scenario you might see in an exam is covered here.
Extra Practice Questions
These questions cover the same concepts as Exercise 14.1. Try solving them to build confidence before or after the textbook exercise.
Consider two events: Event A is 'getting a sum of 13 when rolling two fair dice' and Event B is 'getting a number less than 7 when rolling a single fair die'. Which of the following correctly describes these events?
A bag contains 'x' red balls and 'y' blue balls. If a red ball is drawn, the probability is 1/3. If 2 red balls are removed, and 3 blue balls are added, the probability of drawing a red ball becomes 1/5. Find the initial total number of balls in the bag.
A box contains cards numbered 1 to 20. A card is drawn at random from the box. What is the probability that the number on the card is a multiple of 3?
A student calculated the probability of an event and reported it as -0.5. Which of the following statements about this calculation is true?
Two fair dice are rolled simultaneously. What is the probability that the sum of the numbers appearing on the dice is a prime number?
A fair six-sided die is rolled once. What is the probability of getting an even number?
Which of the following statements about the probability of an event E is always true?
A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is 2/3. Find the number of blue marbles in the jar.
A bag contains 4 green balls and 3 yellow balls. Student A says the probability of drawing a green ball is 4/7. Student B says the probability is 1/2 because there are only two colors. Which student is correct and why?
A card is drawn at random from a well-shuffled deck of 52 playing cards. What is the probability that the card drawn is neither a king nor a red card?
Stuck on a question?
Paste any question from Exercise 14.1 into our AI Maths Solver and get a step-by-step solution instantly. It works for all NCERT questions.
Try AI Solver — FreeCommon Mistakes to Avoid
- ✗Not listing all possible outcomes in the sample space
- ✗Confusing P(E) with P(not E) — remember they add to 1
- ✗Forgetting that a standard deck has 52 cards (not 54)
- ✗Not reducing the fraction to simplest form
Other Exercises in Chapter 14
Frequently Asked Questions
How many questions are in Exercise 14.1?
Exercise 14.1 has 25 questions — the largest exercise in the NCERT Class 10 textbook. It covers dice, cards, coins, and real-world probability.
What is the probability formula?
P(E) = Number of favourable outcomes / Total number of outcomes. The value is always between 0 and 1.
Is probability important for boards?
Yes, expect at least one 2-3 mark question on probability in every CBSE board paper.
Want to practise on paper? Download a free worksheet for this topic.
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