Class 11 Mathematics — Chapter 16: Probability
67 practice questions · 22 Easy · 22 Medium · 23 Hard
Practise Class 11 Mathematics Chapter 16, "Probability", with 67 NCERT-aligned multiple-choice questions. The set is split into 22 Easy, 22 Medium and 23 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, JEE Main and JEE Advanced.
"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 11 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 67.
Key concepts: Probability (Class 11 Mathematics)
This chapter develops the axiomatic approach to probability — sample spaces, events, and the addition rule for the probability of events.
- Random experiment & sample space
- An experiment with unpredictable outcomes; the sample space S is the set of all possible outcomes.
- Events
- Subsets of the sample space; types include simple, compound, mutually exclusive and exhaustive events.
- Axiomatic probability
- P(E) lies between 0 and 1, P(S) = 1, and for mutually exclusive events probabilities add.
- Equally likely outcomes
- P(E) = (favourable outcomes)/(total outcomes) when outcomes are equally likely.
- Addition theorem
- P(A∪B) = P(A) + P(B) − P(A∩B); for mutually exclusive events the last term is 0.
Key formulas — Probability
💡 Exam tips for Probability
- Probability of any event lies between 0 and 1; P(impossible) = 0, P(certain) = 1.
- For mutually exclusive events, P(A∩B) = 0, so probabilities simply add.
Sample questions
Probability of head on a fair coin:
Two equally likely outcomes.
P(not A) =
Complement rule.
Two dice rolled — P(sum = 7):
Six combinations sum to 7.
Probability — FAQs
What are the key concepts in Class 11 Mathematics Probability?+
This chapter develops the axiomatic approach to probability — sample spaces, events, and the addition rule for the probability of events. Key ideas include Random experiment & sample space, Events, Axiomatic probability, Equally likely outcomes, Addition theorem.
What does Class 11 Mathematics Chapter 16 (Probability) cover on XamBaaz?+
It covers 67 NCERT-aligned MCQs on "Probability" — 22 Easy, 22 Medium and 23 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams, JEE Main and JEE Advanced.
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 67 questions free
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