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Chapter 27 of 27
Important Topics

ProbabilityImportant Topics

COMEDK UGET · Mathematics

Most important topics from Probability for COMEDK UGET Mathematics. Focus on these high-weightage areas for maximum score.

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A diagram illustrating a random experiment (e.g., rolling a fair six-sided die) showing all possible outcomes and how they form the sample space. Each outcome is distinct.
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Probability — Syllabus & Topics

Topics covered in Probability for COMEDK UGET Mathematics.

Topics in Probability

1

Random Experiments and Sample Space

  • Random experiment: An experiment where all possible outcomes are known but the specific result cannot be predicted
  • Outcome: A possible result of a random experiment
  • Sample space (S): Set of all possible outcomes
2

Types of Events

  • Simple event: Contains exactly one sample point
  • Compound event: Contains more than one sample point
  • Impossible event: Empty set (φ), probability = 0
3

Axiomatic Definition of Probability

  • Axiom 1: 0 ≤ P(E) ≤ 1 for any event E
  • Axiom 2: P(S) = 1 (probability of sure event)
  • Axiom 3: For mutually exclusive events, P(A ∪ B) = P(A) + P(B)
4

Addition Theorem 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)
  • For three events: P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(B ∩ C) - P(C ∩ A) + P(A ∩ B ∩ C)

Key Concepts

A random experiment is one whereEvents are subsets of sample spaceFor any eventFor any two events AFor any event

Frequently Asked Questions

What topics are covered in Probability for COMEDK UGET?
Probability is an important chapter in COMEDK UGET Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Random Experiments and Sample Space, Types of Events, Axiomatic Definition of Probability, Addition Theorem and Union of Events.
How important is Probability for COMEDK UGET?
Probability is a frequently tested chapter in COMEDK UGET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 199 practice questions available for this chapter.
How to prepare Probability for COMEDK UGET?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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