Probability
Kerala Board · Class 12 · Mathematics
Complete topic list for Probability in Kerala Board Class 12 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
Topics in Probability
Random Experiments and Sample Space
- Random experiment: An activity that can be repeated under identical conditions with unpredictable outcomes
- Sample space (S): The set of all possible outcomes of a random experiment
- Sample points: Individual elements of the sample space
Types of Events
- Equally likely events: Events with the same probability of occurrence
- Mutually exclusive events: Events that cannot occur simultaneously (A ∩ B = ∅)
- Exhaustive events: Events whose union equals the sample space (E₁ ∪ E₂ ∪ ... ∪ Eₙ = S)
Classical Definition and Basic Probability
- Classical definition: P(E) = Number of favorable outcomes / Total number of possible outcomes
- Probability range: 0 ≤ P(E) ≤ 1 for any event E
- P(impossible event) = 0, P(certain event) = 1
Addition Rule and Union of Events
- General addition rule: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
- For mutually exclusive events: P(A ∪ B) = P(A) + P(B)
- Extension to three events: P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(A ∩ C) + P(A ∩ B ∩ C)
Key Concepts
Get detailed syllabus for Probability
Super Tutor gives you interactive content for every chapter of Kerala Board Class 12 Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently Asked Questions
What are the important topics in Probability for Kerala Board Class 12 Mathematics?
Probability covers several key topics that are frequently asked in Kerala Board Class 12 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 — Kerala Board Class 12 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
- 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.
More Resources for Probability
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually