Class 10 Maths — Chapter 14: PROBABILITY

Chapter 14: PROBABILITY is a chapter in Class 10 Maths (NCERT), part of the CBSE NCERT curriculum followed by over 25 million students across India. This chapter covers 8 topics including Theoretical (Classical) Probability, Complementary Events, Impossible and Sure Events. BrainWeave provides free AI-powered explanations — by voice or text, in Hindi or English — with no signup required.

Get Instant Solutions from AI Tutor → Read Chapter Summary

What you'll learn

▸Theoretical (Classical) ProbabilityCore concept

theoretical probabilityfavourable outcomespossible outcomesequally likely
▸Complementary EventsCore concept

complementary eventsnot EP(E')1 - P(E)
▸Impossible and Sure EventsCore concept

impossible eventsure eventcertain eventprobability 0probability 1
▸Range of Probability ValuesCore concept

range of probability0 to 1inclusiveP(E) ≤ 1
▸Calculating Probability with DiceCore concept

diedicerolling a diesix-sidedprime number
▸Calculating Probability with Playing CardsCore concept

playing cardsdeck of 52suitsface cardsace
▸Elementary Events

elementary eventsingle outcomesum of probabilitiesexperiment
▸Calculating Probability with Simple Selections

ballsbagmarblesselectionrandom draw

Chapter Summary

Understand the definition of theoretical probability as the ratio of the number of favourable outcomes to the total number of possible outcomes, under the assumption that all outcomes are equally likely.

Understand the concept of complementary events (an event 'E' and the event 'not E'). Know and apply the formula P(E) + P(not E) = 1 to find the probability of an event's complement.

Define and identify impossible events, which have a probability of 0, and sure (or certain) events, which have a probability of 1.

Recognize that the probability of any event E must be a value between 0 and 1, inclusive. This is represented by the inequality 0 ≤ P(E) ≤ 1.

Calculate the probability of various outcomes when rolling a single fair six-sided die, such as getting an even number, a prime number, or a number greater than a specific value.

Understand the composition of a standard 52-card deck (4 suits, 13 ranks, colors, face cards) and calculate the probability of drawing a specific type of card.

Define an elementary event as an event with only one possible outcome. Understand that the sum of the probabilities of all elementary events of an experiment is 1.

Calculate probabilities involving the random selection of an object from a group, such as drawing a colored ball from a bag.

Practice Questions from this Chapter

Tap "Get Solution" on any question to ask our AI tutor.

Explain quantum probability simply. Get Solution →
Calculate my chances of winning. Get Solution →
Illustrate probability in daily life. Get Solution →
According to the text, what is the theoretical probability of an event E defined as? Get Solution →
An event that is impossible to occur has a probability of what value? Get Solution →
What is the term for an event that has only one outcome of the experiment? Get Solution →
What is the sum of the probabilities of all the elementary events of an experiment? Get Solution →
An event that is sure or certain to occur has a probability of what value? Get Solution →

Did you know?

💡 Probability theory first emerged in the 16th century to analyze gambling games.
💡 A truly unbiased coin toss is extremely difficult for a human to perform perfectly.
💡 Genetic inheritance, like eye color, follows predictable patterns described by probability.
💡 Even winning the lottery involves incredibly tiny but calculable probabilities.
💡 Quantum physics describes the universe using probabilities because outcomes are inherently uncertain.

Frequently Asked Questions

How many topics are covered in this chapter?

This chapter covers 8 key topics: Theoretical (Classical) Probability, Complementary Events, Impossible and Sure Events, Range of Probability Values, Calculating Probability with Dice, and more. The BrainWeave AI tutor explains each one with examples.

Is Chapter 14: PROBABILITY important for board exams?

Yes — Class 10 is a CBSE board exam year, and every NCERT chapter is part of the syllabus. Use BrainWeave's AI tutor to master this chapter, then practice with the auto-generated quizzes and mind maps.

Can I get NCERT solutions for this chapter in Hindi?

Yes. BrainWeave's AI tutor supports Hindi, English, and Hinglish for both voice and text chat. Just ask your question in your preferred language.

Is BrainWeave free for Class 10?

Yes. BrainWeave's free Spark plan gives generous daily messages — enough for regular homework. Premium features unlock when you bring your own free Google Gemini API key.

Can I use voice chat for this chapter?

Absolutely. Tap the mic, ask any question about Chapter 14: PROBABILITY, and the AI tutor will explain it back in voice and text.

How is BrainWeave better than static NCERT solutions sites?

Static solution sites give the same answer to everyone. BrainWeave adapts to your question — ask "explain like I'm 12" or "give a real-world example" and get a personalized response. Voice mode and Hindi support work seamlessly.

Related Chapters

Chapter 13: STATISTICS

Chapter 15: PROOFS IN MATHEMATICS

Chapter 10: CIRCLES

Chapter 6: TRIANGLES

Chapter 2: POLYNOMIALS

Chapter 1: REAL NUMBERS

Ask Any Question About Chapter 14: PROBABILITY

Voice or text. Hindi or English. Free to start. No signup required.

Start Now →