Probability
Kerala Board · Class 11 · Mathematics
Summary of Probability for Kerala Board Class 11 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Probability is a mathematical tool that helps us measure and predict the likelihood of events occurring. This chapter introduces the axiomatic approach to probability, which provides a systematic framework for understanding and calculating probabilities. We learn about events, their types, and how t
Key Concepts
Any subset of a sample space
Any subset of a sample space is called an event. It represents a collection of outcomes from an experiment that we are interested in. For example, whe
Events are classified as
Events are classified as: (1) Simple Event - contains only one outcome, (2) Compound Event - contains multiple outcomes, (3) Impossible Event - empty
For any event
For any event A, the complementary event A' (or 'not A') contains all outcomes in the sample space that are not in A. A' = S - A, and P(A') = 1 - P(A)
The union A ∪ B represents
The union A ∪ B represents the event 'A or B or both'. It contains all outcomes that belong to either A or B or both. P(A ∪ B) = P(A) + P(B) - P(A ∩ B
The intersection A ∩ B represents
The intersection A ∩ B represents the event 'A and B'. It contains outcomes common to both A and B. For mutually exclusive events, A ∩ B = φ.
Learning Objectives
- Understand the concept of events and their relationship with sample spaces
- Learn to classify events into different types (simple, compound, impossible, sure)
- Master the algebra of events using set operations
- Apply the axiomatic approach to probability with its three fundamental axioms
- Calculate probabilities for equally likely outcomes using the classical method
Frequently Asked Questions
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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