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Probability

Rajasthan Board · Class 11 · Mathematics

Quick revision notes for Probability — Rajasthan Board Class 11 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

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Key Topics to Revise

1

Events and Sample Space

  • An event is any subset of a sample space S
  • Sample space S contains all possible outcomes of an experiment
  • Events can be classified as impossible, sure, simple, or compound
2

Types of Events and Event Operations

  • Complementary event A' represents 'not A' and equals S - A
  • Union A ∪ B represents 'A or B' - occurrence of at least one event
  • Intersection A ∩ B represents 'A and B' - occurrence of both events
3

Axiomatic Approach to Probability

  • Probability is a real-valued function P with domain as power set of S and range [0, 1]
  • Three fundamental axioms define probability: non-negativity, normalization, and additivity
  • For equally likely outcomes, P(ωᵢ) = 1/n where n is total number of outcomes
4

Probability Rules and Formulas

  • Addition rule: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
  • For mutually exclusive events: P(A ∪ B) = P(A) + P(B)
  • Complement rule: P(A') = 1 - P(A)

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Full Notes

Key Concepts

Any subset of a sample spaceEvents are classified asFor any eventThe union A ∪ B representsThe intersection A ∩ B represents

Frequently Asked Questions

What are the important topics in Probability for Rajasthan Board Class 11 Mathematics?
Probability covers several key topics that are frequently asked in Rajasthan Board Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Probability — Rajasthan Board Class 11 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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