IITJEE Advance • Mathematics New Syllabus
Module 03: Probability & Distributions Hub
Master the rigorous mathematics of chance. Explore conditional probability, Bayes’ theorem, total probability, random variables, and advanced binomial distributions.
Topic 1.1 • Fundamentals
Classical & Axiomatic Probability, Set Theoretic Approach, and Event Algebra
Topic 1.2 • Conditional Events
Conditional Probability, Multiplication Theorem, and Independent Events
Topic 2.1 • Total Probability
Theorem of Total Probability, Partition of Sample Space, and Tree Diagrams
Topic 2.2 • Inverse Probability
Bayes’ Theorem, Prior & Posterior Probabilities, and Cause-Effect Scenarios
Topic 3.1 • Random Variables
Discrete Random Variables, Probability Mass Functions, and Distributions
Topic 3.2 • Expectation & Variance
Mathematical Expectation (Mean), Variance, Standard Deviation, and Moments
Topic 4.1 • Binomial Trials
Bernoulli Trials, Binomial Distribution, and Success/Failure Mechanics
Topic 4.2 • Advanced Applications