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Syllabus

Probability — Syllabus

Telangana Open School (TOSS) · Class 12 · Mathematics

What Probability covers in Telangana Open School (TOSS) Class 12 Mathematics: 4 topics, for the 2026-27 session.

49 questions30 flashcards6 formulas & key relations5 concepts

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4 Topics · Telangana Open School (TOSS) Class 12 Mathematics · 2026-27

Topics in Probability

1

Random Experiment and Sample Space

  • A random experiment is one that can be repeated under identical conditions, but its outcome cannot be predicted beforehand.
  • All possible outcomes of a random experiment are known in advance.
  • The set of all possible outcomes is called the sample space (S).
2

Types of Events

  • An event is a subset of the sample space.
  • Equally likely events have the same chance of occurring.
  • Mutually exclusive events cannot happen at the same time.
3

Classical Definition of Probability

  • Probability of an event = Number of favorable outcomes / Total number of possible outcomes.
  • This applies only when all outcomes are equally likely.
  • Probability values range from 0 (impossible) to 1 (certain).
4

Addition and Multiplication Rules

  • Addition Rule: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
  • If A and B are mutually exclusive, P(A ∩ B) = 0, so P(A ∪ B) = P(A) + P(B)
  • Multiplication Rule: P(A ∩ B) = P(A) × P(B|A)

Key Concepts

Central concept: Probability

Random ExperimentSample SpaceEventTypes of EventsProbability DefinitionAxioms of ProbabilityAddition TheoremMultiplication Theorem

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Frequently Asked Questions

What are the important topics in Probability for Telangana Open School (TOSS) Class 12 Mathematics?
Key topics in Probability include Random Experiment and Sample Space, Types of Events, Classical Definition of Probability, Addition and Multiplication Rules. Study these first, then practise questions on each for the Telangana Open School (TOSS) Class 12 board exam.
How should I revise Probability for the Telangana Open School (TOSS) Class 12 board exam?
Learn the core ideas first, then work through the 49 practice questions on Probability. Revise definitions regularly and use flashcards for quick recall 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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