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Revision Notes

Probability 1Revision Notes

JEE Mains · Mathematics

Free Probability 1 revision notes for JEE Mains Mathematics 2026 — key concepts, formulas, and definitions for quick revision.

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A series of small Venn diagrams or a single composite diagram illustrating impossible, sure, simple, and compound events within a sample space.
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Revision Notes — Probability 1

Key concepts, formulas, and definitions from Probability 1 for JEE Mains Mathematics preparation.

Key Topics to Revise

1

Basic Definitions and Sample Space

  • Random experiment: An operation whose outcome cannot be predicted with certainty
  • Sample space (S): Set of all possible outcomes of a random experiment
  • Event: A subset of the sample space
2

Types of Events

  • Complementary events: A and A' where A' = S - A
  • Mutually exclusive events: A ∩ B = φ (empty set)
  • Exhaustive events: E₁ ∪ E₂ ∪ ... ∪ Eₙ = S
3

Axiomatic Approach to Probability

  • Axiom 1: P(E) ≥ 0 for any event E
  • Axiom 2: P(S) = 1 where S is sample space
  • Axiom 3: For mutually exclusive events E and F, P(E ∪ F) = P(E) + P(F)
4

Classical Probability Problems

  • Coin tossing: S = {H, T} for one coin, S = {HH, HT, TH, TT} for two coins
  • Dice rolling: S = {1, 2, 3, 4, 5, 6} for one dice
  • Card drawing: Standard deck has 52 cards (13 each of 4 suits)

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Key Concepts

A random experiment is one whoseSimple EventThree fundamental axiomsP(E) = Number of favorable outcomesFor any two events A

Frequently Asked Questions

What topics are covered in Probability 1 for JEE Mains?
Probability 1 is an important chapter in JEE Mains Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Definitions and Sample Space, Types of Events, Axiomatic Approach to Probability, Classical Probability Problems.
How important is Probability 1 for JEE Mains?
Probability 1 is a frequently tested chapter in JEE Mains Mathematics. Questions from this chapter appear regularly in previous year papers. There are 56 practice questions available for this chapter.
How to prepare Probability 1 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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