Probability
Telangana Open School (TOSS) · Class 12 · Mathematics
Complete topic list for Probability in Telangana Open School (TOSS) Class 12 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
Interactive on Super Tutor
Studying Probability? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.
1,000+ Class 12 students started this chapter today
Topics in Probability
Random Experiment and Sample Space
- A random experiment is one that can be repeated under identical conditions, but its outcome cannot be predicted beforehand.
- All possible outcomes of a random experiment are known in advance.
- The set of all possible outcomes is called the sample space (S).
Types of Events
- An event is a subset of the sample space.
- Equally likely events have the same chance of occurring.
- Mutually exclusive events cannot happen at the same time.
Classical Definition of Probability
- Probability of an event = Number of favorable outcomes / Total number of possible outcomes.
- This applies only when all outcomes are equally likely.
- Probability values range from 0 (impossible) to 1 (certain).
Addition and Multiplication Rules
- Addition Rule: P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
- If A and B are mutually exclusive, P(A ∩ B) = 0, so P(A ∪ B) = P(A) + P(B)
- Multiplication Rule: P(A ∩ B) = P(A) × P(B|A)
Key Concepts
Central concept: Probability
Frequently Asked Questions
What are the important topics in Probability for Telangana Open School (TOSS) Class 12 Mathematics?
How to score full marks in Probability — Telangana Open School (TOSS) Class 12 Mathematics?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Probability
Practice Quiz
Test yourself with a quick quiz
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Formula Sheet
All formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
See how topics connect visually
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Probability chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Telangana Open School (TOSS) Class 12 Mathematics.