IITJEE Mains • Mathematics New Syllabus
Module 16: Probability Hub
Master the mathematics of chance and uncertainty. Explore classical probability, conditional probability, Bayes’ theorem, random variables, and binomial distributions.
Topic 1.1 • Fundamentals
Classical & Axiomatic Probability, Sample Space, and Types of Events
Topic 1.2 • Addition Rules
Addition Theorem of Probability, Mutually Exclusive Events, and Set Theory Applications
Topic 2.1 • Conditional Events
Conditional Probability, Multiplication Theorem, and Independent Events
Topic 2.2 • Total Probability
Theorem of Total Probability, Partition of Sample Space, and Tree Diagrams
Topic 3.1 • Inverse Probability
Bayes’ Theorem, Prior/Posterior Probabilities, and Cause-Effect Scenarios
Topic 3.2 • Random Variables
Discrete Random Variables, Probability Distribution, and Expectation (Mean)
Topic 4.1 • Dispersion
Variance, Standard Deviation of Random Variables, and Moment Calculations
Topic 4.2 • Distributions