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MERITROOT FREE LEARNING · CLASS 12 / MATHEMATICS

Probability

Your chapter workspace for understanding concepts, revising key ideas and practising questions. Choose an available resource below.

PYQs2Formulae2Notes2
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PYQs

Practise questions grouped by chapter and source year.

Practice questions are organised using the years and labels in our source collection. Work through the solutions with your teacher; these are not a complete official examination paper.

Practice question 1

Source year: 20253 marks

A bag contains 5 red and 3 blue balls. Two balls are drawn without replacement. Find probability both are red. [CBSE 2025]

Practice question 2

Source year: 20242 marks

Prove: P(A∪B) = P(A) + P(B) - P(A∩B). [CBSE 2024]

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Formulae

Revisit important relationships and quick revision formulae.

Probability Laws

P(A∪B) = P(A) + P(B) - P(A∩B)\nP(A') = 1 - P(A)

Conditional Probability

P(A|B) = P(A∩B)/P(B)\nBayes' Theorem: P(A|B) = P(B|A)P(A)/P(B)

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Notes

Build understanding with chapter guides and revision notes.

Understand the chapter

This is a chapter-wise rendering test file. It is not a full textbook chapter. It contains representative formulae, equations, diagrams, mechanisms, tables, and notation patterns useful for testing digitised CBSE/NCERT-style content.

Metadata

FieldValue
Class12
SubjectMathematics
Chapter13. Probability
Test typeMarkdown + LaTeX + Mermaid

Key rendering targets

  • Inline formulae like E=mc2E=mc^2
  • Block formulae using $$
  • Tables
  • Diagrams using Mermaid
  • Searchable plain text
  • Future conversion to HTML, JSON, database, and app content

Probability rendering

P(A∣B)=P(A∩B)P(B)P(A\mid B)=\frac{P(A\cap B)}{P(B)} P(Ai∣B)=P(Ai)P(B∣Ai)∑j=1nP(Aj)P(B∣Aj)P(A_i\mid B)= \frac{P(A_i)P(B\mid A_i)} {\sum_{j=1}^{n}P(A_j)P(B\mid A_j)}

Practice/testing prompts

  1. Check if all formulae render correctly.
  2. Check if the diagram appears in Obsidian or HTML.
  3. Mark this chapter as pass, needs-plugin, or needs-SVG.

Status

  • Formulae checked
  • Diagram checked
  • HTML checked
  • Mobile view checked

Comprehensive Notes: Probability

Introduction to Probability

These are the fundamental concepts and key takeaways for this chapter. Make sure to review these before exams.

  • Key Concept 1
  • Key Concept 2
  • Important Definition

More detailed notes will be added here soon.

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