Chapter test · Mathematics · Class 12

Statistics and Probability

This test asks up to 25 questions on the real pattern and marking, and hands you a concept-by-concept report the moment you finish. It covers 3 key concepts: Conditional probability and independence, Total probability and Bayes’ theorem and Random variables and distributions.

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Questions

Up to 25 — 20 MCQ + 5 numerical

Time

60 minutes, fixed

Marking

JEE Main: +4 / −1 on A, +4 / 0 on B

Class

Class 12 · Mathematics

Report

Concept breakdown + cognitive demand, instantly

What this test covers

3 key concepts, tested the way the exam tests them.

Mapped from EduPeak’s learning framework for this chapter — the same map your report scores you against.

1
Conditional probability and independence
- Applies conditional probability, multiplication rule and independence tests.Apply & Analyse
2
Total probability and Bayes’ theorem
- Applies the law of total probability and Bayes’ theorem to multi-source problems.Apply & Analyse
3
Random variables and distributions
- Computes distributions, mean and variance of discrete random variables (incl. Bernoulli trials).Apply & Analyse

Level of thinking demanded3 learning objectives

Recall & understandingApply & AnalyseHigher-order

This chapter is tested mostly at the Apply & Analyse level.

In your board

Where this chapter sits in your syllabus.

The same EduPeak test, found under your own textbook’s chapter name.

CBSE
Statistics · Probability
✓ in your syllabus
Gujarat (GSEB)
Statistics · Probability
✓ in your syllabus
Madhya Pradesh (MPBSE)
Statistics · Probability
✓ in your syllabus
Rajasthan (RBSE)
Statistics · Probability
✓ in your syllabus
Bihar (BSEB)
Unit-VI Statistics & Probability · Unit-VI Probability
✓ in your syllabus
Uttar Pradesh (UPMSP)
सांख्यिकी तथा प्रायिकता - सांख्यिकी / Statistics · सांख्यिकी तथा प्रायिकता - प्रायिकता / Probability · प्रायिकता / Probability
✓ in your syllabus
ISC (CISCE)
Statistics and Probability - Statistics · Statistics and Probability - Probability · Probability
✓ in your syllabus
Cambridge International A Level
Representation of data (P&S 1) · Probability (P&S 1) · Discrete random variables (P&S 1)
✓ in your syllabus
IB Diploma Programme (HL)
SL 4.1 Population, sample, sampling techniques (Topic 4: Statistics and probability) · SL 4.2 Presentation of data; histograms and box plots (Topic 4: Statistics and probability) · SL 4.3 Measures of central tendency and dispersion (Topic 4: Statistics and probability) · SL 4.4 Linear correlation of bivariate data (Topic 4: Statistics and probability) · SL 4.5 Trial, outcome, probability of an event (Topic 4: Statistics and probability) · SL 4.6 Venn diagrams, tree diagrams; combined events (Topic 4: Statistics and probability) · SL 4.7 Discrete random variables and expected value (Topic 4: Statistics and probability) · SL 4.8 Binomial distribution (Topic 4: Statistics and probability) · SL 4.9 The normal distribution and curve (Topic 4: Statistics and probability) · SL 4.10 Regression line of x on y (Topic 4: Statistics and probability) · SL 4.11 Conditional probability; independence (Topic 4: Statistics and probability) · SL 4.12 Standardization of normal variables (z-values) (Topic 4: Statistics and probability) · AHL 4.13 Bayes' theorem (Topic 4: Statistics and probability) · AHL 4.14 Variance of a discrete random variable; continuous random variables (Topic 4: Statistics and probability)
✓ in your syllabus

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Try one

A sample question from this chapter.

Drawn fresh from the chapter’s bank on every visit. Reveal the worked solution when you are ready — the way your report explains every question.

SampleMathematics· MCQ+4 / -1

A board has

16

squares as shown in the figure :
Out of these

16

squares, two squares are chosen at random. The probability that they have no side in common is :

A. $\frac{4}{5}$
B. $\frac{7}{10}$
C. $\frac{3}{5}$
D. $\frac{23}{30}$

Worked, step by step — the way your report explains every question. Loads on request.

In the real test, every question is fresh from the chapter’s bank — and your report shows the worked solution for each one.

Keep climbing

Related Class 12 Mathematics chapters

Sets, Relations and Functions Matrices and Determinants Limits, Continuity and Differentiability Integral Calculus Differential Equations Three Dimensional Geometry

Good to know

About this chapter test

How is the test scored?

Exactly like JEE Main: +4 for a correct answer, −1 for a wrong MCQ, and no negative marking on numericals. Your total, pacing and concept-by-concept accuracy appear in your report the moment you submit.

Which class is Statistics and Probability in?

Statistics and Probability sits in Class 12 Mathematics here. Pick your class when you start — the whole chapter list is organised the same way.

Can I take it more than once?

Yes — each attempt draws from the chapter’s bank, and your report tracks your best and your progress across attempts.

Is it free?

Free chapter tests are included with every account, and each one comes with the complete report. No card needed to start.

25 questions. 60 minutes. One honest answer.

Find out exactly where you stand on this chapter — today.

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