Chapter 27 of 27
Revision Notes
Probability — Revision Notes
AMUEEE · Mathematics
Free Probability revision notes for AMUEEE Mathematics 2026 — key concepts, formulas, and definitions for quick revision.
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Key concepts, formulas, and definitions from Probability for AMUEEE Mathematics preparation.
Key Topics to Revise
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)
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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 AMUEEE?
Probability is an important chapter in AMUEEE 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 AMUEEE?
Probability is a frequently tested chapter in AMUEEE Mathematics. Questions from this chapter appear regularly in previous year papers. There are 233 practice questions available for this chapter.
How to prepare Probability for AMUEEE?
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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