Class 10 Mathematics — Chapter 14: Probability
68 practice questions · 23 Easy · 23 Medium · 22 Hard
Practise Class 10 Mathematics Chapter 14, "Probability", with 68 NCERT-aligned multiple-choice questions. The set is split into 23 Easy, 23 Medium and 22 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"Probability" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Probability, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 10 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 68.
Key concepts: Probability (Class 10 Mathematics)
Probability measures how likely an event is. This chapter uses the theoretical (classical) definition for experiments with equally likely outcomes.
- Theoretical probability
- P(E) = (number of favourable outcomes) / (total number of equally likely outcomes).
- Range of probability
- For any event E, 0 ≤ P(E) ≤ 1.
- Sure and impossible events
- P(sure event) = 1; P(impossible event) = 0.
- Complementary events
- 'Not E' is the complement of E, and their probabilities add to 1.
Key formulas — Probability
💡 Exam tips for Probability
- List the full sample space (all equally likely outcomes) before counting the favourable ones.
- If a problem asks for 'at least one', it is often quicker to compute 1 − P(none).
Sample questions
Probability of any event lies between:
Probability satisfies 0 ≤ P(E) ≤ 1.
A card is drawn from a standard 52-card deck. P(card is a king) =
4 kings out of 52 cards: P = 4/52 = 1/13.
A card is drawn from a deck of 52. P(card is a face card or a heart) =
Face cards = 12; hearts = 13; face hearts (overlap) = 3. By inclusion–exclusion: 12 + 13 − 3 = 22 out of 52 = 11/26.
Probability — FAQs
What are the key concepts in Class 10 Mathematics Probability?+
Probability measures how likely an event is. This chapter uses the theoretical (classical) definition for experiments with equally likely outcomes. Key ideas include Theoretical probability, Range of probability, Sure and impossible events, Complementary events.
What does Class 10 Mathematics Chapter 14 (Probability) cover on XamBaaz?+
It covers 68 NCERT-aligned MCQs on "Probability" — 23 Easy, 23 Medium and 22 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "Probability" questions free to practise?+
Yes — sign in with Google to practise "Probability" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Probability" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 68 questions free
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