Probability — Revision Notes
NEST · Mathematics
Quick revision notes for Probability — key concepts, formulas, and definitions for NEST Mathematics preparation.
Revision Notes — Probability
Key concepts, formulas, and definitions from Probability for NEST Mathematics preparation.
Key Topics to Revise
13.2 Conditional Probability
- Conditional probability measures the likelihood of an event occurring given that another event has already occurred
- Formula: P(A|B) = P(A∩B)/P(B), where P(B) ≠ 0
- Range: 0 ≤ P(A|B) ≤ 1 for all events A and B
13.3 Multiplication Theorem
- Used to find probability of intersection of two or more events
- For two events: P(A∩B) = P(A) × P(B|A) = P(B) × P(A|B)
- For three events: P(A∩B∩C) = P(A) × P(B|A) × P(C|A∩B)
13.4 Independent Events
- Two events are independent if occurrence of one doesn't affect the probability of the other
- For independent events: P(A|B) = P(A) and P(B|A) = P(B)
- Independence condition: P(A∩B) = P(A) × P(B)
13.5 Bayes' Theorem and Total Probability
- Partition of sample space: events that are mutually exclusive, exhaustive, and have non-zero probabilities
- Total Probability Theorem: P(A) = Σ P(Eᵢ) × P(A|Eᵢ) for partition {E₁, E₂, ..., Eₙ}
- Bayes' Theorem: P(Eᵢ|A) = [P(Eᵢ) × P(A|Eᵢ)] / [Σ P(Eⱼ) × P(A|Eⱼ)]
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What topics are covered in Probability for NEST?
Probability is an important chapter in NEST Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: 13.2 Conditional Probability, 13.3 Multiplication Theorem, 13.4 Independent Events, 13.5 Bayes' Theorem and Total Probability.
How important is Probability for NEST?
Probability is a frequently tested chapter in NEST Mathematics. Questions from this chapter appear regularly in previous year papers. There are 55 practice questions available for this chapter.
How to prepare Probability for NEST?
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.