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Revision Notes

Probability 2Revision Notes

JEE Mains · Mathematics

Free Probability 2 revision notes for JEE Mains Mathematics 2026 — key concepts, formulas, and definitions for quick revision.

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A comparison showing the visual difference and key formulas for independent and dependent events, highlighting when P(A ∩ B) = P(A)P(B).
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Revision Notes — Probability 2

Key concepts, formulas, and definitions from Probability 2 for JEE Mains Mathematics preparation.

Key Topics to Revise

1

Conditional Probability

  • Conditional probability measures the probability of event A occurring given that event B has already occurred
  • Notation: P(A|B) read as 'probability of A given B'
  • Formula: P(A|B) = P(A∩B)/P(B), provided P(B) ≠ 0
2

Multiplication Theorem of Probability

  • 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|AB)
3

Independent Events

  • Events A and B are independent if occurrence of one doesn't affect the probability of the other
  • Mathematical condition: P(A∩B) = P(A)×P(B)
  • Equivalent conditions: P(A|B) = P(A) and P(B|A) = P(B)
4

Total Probability Theorem

  • Used when sample space can be partitioned into mutually exclusive and exhaustive events
  • Partition: A₁, A₂, ..., Aₙ such that Aᵢ∩Aⱼ = φ (i≠j) and A₁∪A₂∪...∪Aₙ = S
  • Formula: P(B) = Σ P(Aᵢ)×P(B|Aᵢ) for any event B

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Key Concepts

The probability of an eventStates that P(A∩B) = P(A)×P(B|A) =Two events A and BIf {A₁Provides a way to update probability

Frequently Asked Questions

What topics are covered in Probability 2 for JEE Mains?
Probability 2 is an important chapter in JEE Mains Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Conditional Probability, Multiplication Theorem of Probability, Independent Events, Total Probability Theorem.
How important is Probability 2 for JEE Mains?
Probability 2 is a frequently tested chapter in JEE Mains Mathematics. Questions from this chapter appear regularly in previous year papers. There are 59 practice questions available for this chapter.
How to prepare Probability 2 for JEE Mains?
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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