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Probability

Telangana Board · Class 12 · Mathematics

Quick revision notes for Probability — Telangana Board Class 12 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions25 flashcards5 concepts

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Key Topics to Revise

1

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
2

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)
3

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
4

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)

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Full Notes

Key Concepts

A random experiment is oneEvents are classified asFor equally likely outcomesFor complex problemsFor any two events A

Frequently Asked Questions

What are the important topics in Probability for Telangana Board Class 12 Mathematics?
Probability covers several key topics that are frequently asked in Telangana 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 — Telangana 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

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

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