Probability is one of the most scoring and conceptually clear chapters in the Class 10 Mathematics curriculum. It provides a mathematical framework for measuring uncertainty and is widely applicable in fields ranging from statistics and insurance to quantum physics and daily decision-making. In the CBSE Board exams, this chapter typically carries a weightage of 4 to 6 marks, often appearing as a combination of Multiple Choice Questions and a Case Study-based question.
Mastering this chapter requires a solid understanding of outcomes, sample spaces, and the fundamental formula for theoretical probability. By practicing these 30 carefully curated MCQs, students will gain proficiency in handling problems related to coins, dice, playing cards, and algebraic variations. These questions are designed to align perfectly with the NCERT curriculum and the latest examination pattern to ensure you are fully prepared for the final boards.
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Marking
Q1. Which of the following cannot be the probability of an event?
Q2. An event is very unlikely to happen. Its probability is closest to:
Q3. If , then the probability of 'not E' is:
Q4. A card is selected at random from a well-shuffled deck of 52 playing cards. The probability of its being a face card is:
Q5. A die is thrown once. The probability of getting a prime number is:
Q6. Two coins are tossed simultaneously. The probability of getting at most one head is:
Q7. A bag contains 3 red balls, 5 white balls, and 7 black balls. What is the probability that a ball drawn from the bag is neither red nor black?
Q8. If a number is chosen from the numbers , what is the probability that ?
Q9. The probability of a sure event is:
Not defined
Q10. A girl calculates that the probability of her winning the first prize in a lottery is . If 6000 tickets are sold, how many tickets has she bought?
Q11. One card is drawn from a well-shuffled deck of 52 cards. The probability that the card will not be an ace is:
Q12. A box contains 90 discs numbered from 1 to 90. If one disc is drawn at random, the probability that it bears a prime number less than 23 is:
Q13. Two dice are thrown together. The probability that the sum of the two numbers will be a multiple of 4 is:
Q14. The probability of getting a bad egg in a lot of 400 is . The number of bad eggs in the lot is:
Q15. A letter is chosen at random from the English alphabet. The probability that it is a letter of the word 'APPLE' is:
...and 15 more challenging questions available in the interactive simulator.