Class 12 NCERT • Mathematics Part 2 (New Syllabus)
Mathematics Part 2 Ch 13: Probability
Select a topic or study module below to explore conditional probability, multiplication theorem on probability, independent events, Bayes’ theorem, random variables, probability distributions, mean, variance, binomial distribution, and comprehensive textbook problem solutions.
Topic 01 • Conditional Probability
Exploring Probability of Event E Given Event F (P(E|F) = P(E ∩ F) / P(F)), Properties, and Sample Space Reductions
Topic 02 • Multiplication Theorem
Analyzing P(E ∩ F) = P(E)P(F|E), Dependent Events, and Multi-Stage Experiment Probabilities
Topic 03 • Independent Events
Studying Definition P(E ∩ F) = P(E)P(F), Complemented Events, and Problem Solving with Coin/Dice Tosses
Topic 04 • Bayes’ Theorem
Investigating Partition of Sample Space, Total Probability Theorem, and Inverse Probability Calculations via Bayes’ Formula
Topic 05 • Random Variables & Distributions
Examining Discrete Random Variables, Probability Mass Functions, Distribution Tables, and Validity Conditions
Topic 06 • Mean & Variance
Analyzing Expectation (Mean μ = ∑ xiP(xi)), Variance (σ2), and Standard Deviation Calculations
Topic 07 • Binomial Distribution
Studying Bernoulli Trials, Binomial Probability Formula P(X = x) = nCxpxqn–x, Mean, and Variance
Module 08 • Solutions & Chapter Review