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Chapter 13 Class 12 Probability

Master Chapter 13 Class 12 Probability with comprehensive NCERT Solutions, Practice Questions, MCQs, Sample Papers, Case Based Questions, and Video lessons.

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Updated according to new NCERT - 2026 Exams NCERT Books.

 

Get NCERT solutions of all examples, exercises and Miscellaneous questions of Chapter 13 Class 12 Probability with detailed explanation. Formula sheet also available.

 

We started learning about Probability from Class 6,

we learned that Probability is Number of outcomes by Total Number of Outcomes.

In Class 11, we learned about Sample Space, Events, using Sets. 

 

In this chapter, we will learn about

  • Conditional Probability - Finding probability of something when an event has already occurred. For example - finding probability of 4 coming in second throw of die if 6 has come in first throw. We also discuss its formula, properties and questions
  • Independent events - What is an independent event, and where is it used?
  • Multiplication rule of probability - We learn about dependent and independent events, and the multiplication rule for 2, or more than two events
  • Basic Probability - We solve questions using basic formula - Number of outcomes/Total Outcomes to find Probability, set theory, and permutation and combinations to find probability.
  • Theorem of total probability - We use the formula P(A) = P(B) P(A|B) + P(B') P(A|B')
  • Bayes theorem - Finding probability when an event has already happened
  • Random Variable - Writing random variable 
  • Probability distribution - Finding probability distribution of random variable, and finding its mean (or expectation)
  • Variance and Standard Deviation of a Random Variable - Finding variance and standard deviation using probability distribution
  • Bernoulli Trials - Checking if an event is a Bernoulli trial
  • Binomial Distribution - For Bernoulli Trial, finding probability using Binomial Distribution

 

Check the chapter from different Concepts, starting from Basic to Advanced, or you can also refer to the exercises mentioned in the NCERT Book. Click on a topic below to start

Serial order wise

Ex 13.1 Start Learning
Ex 13.2 Start Learning
Ex 13.3 Start Learning
Examples Start Learning
Miscellaneous Start Learning
Case Based Questions (MCQ) Start Learning
Probability Distribution Start Learning
Bernoulli Trial Start Learning

Concept wise

Conditional Probability - Values given Start Learning
Conditional Probability - Statement Start Learning
Multiplication rule of probability Start Learning
Independent events Start Learning
Basic Probability Start Learning
Theorem of total probability Start Learning
Bayes theorem Start Learning
Random Variable - Defination Start Learning
Probability distribution Start Learning
Mean or Expectation of random variable Start Learning
Variance and Standard Deviation of a Random Variable Start Learning
Bernoulli Trials Start Learning
Binomial Distribution Start Learning

Why Learn This With Teachoo?

Updated according to new NCERT - 2026 Exams NCERT Books.

 

Get NCERT solutions of all examples, exercises and Miscellaneous questions of Chapter 13 Class 12 Probability with detailed explanation. Formula sheet also available.

 

We started learning about Probability from Class 6,

we learned that Probability is Number of outcomes by Total Number of Outcomes.

In Class 11, we learned about Sample Space, Events, using Sets. 

 

In this chapter, we will learn about

  • Conditional Probability - Finding probability of something when an event has already occurred. For example - finding probability of 4 coming in second throw of die if 6 has come in first throw. We also discuss its formula, properties and questions
  • Independent events - What is an independent event, and where is it used?
  • Multiplication rule of probability - We learn about dependent and independent events, and the multiplication rule for 2, or more than two events
  • Basic Probability - We solve questions using basic formula - Number of outcomes/Total Outcomes to find Probability, set theory, and permutation and combinations to find probability.
  • Theorem of total probability - We use the formula P(A) = P(B) P(A|B) + P(B') P(A|B')
  • Bayes theorem - Finding probability when an event has already happened
  • Random Variable - Writing random variable 
  • Probability distribution - Finding probability distribution of random variable, and finding its mean (or expectation)
  • Variance and Standard Deviation of a Random Variable - Finding variance and standard deviation using probability distribution
  • Bernoulli Trials - Checking if an event is a Bernoulli trial
  • Binomial Distribution - For Bernoulli Trial, finding probability using Binomial Distribution

 

Check the chapter from different Concepts, starting from Basic to Advanced, or you can also refer to the exercises mentioned in the NCERT Book. Click on a topic below to start