Probability — Revision Notes
MHT-CET · Mathematics
Quick revision notes for Probability — key concepts, formulas, and definitions for MHT-CET Mathematics preparation.
Revision Notes — Probability
Key concepts, formulas, and definitions from Probability for MHT-CET Mathematics preparation.
Key Topics to Revise
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
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
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)
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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What topics are covered in Probability for MHT-CET?
Probability is an important chapter in MHT-CET 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 MHT-CET?
Probability is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 53 practice questions available for this chapter.
How to prepare Probability for MHT-CET?
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.