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Probability Preparation Hub

Master Probability with coaching-grade theory notes, verified video lectures, and 10 interactive MCQs with instant mistake analysis. Continue with 500+ adaptive questions inside the Exam Sprinter app.

📘 Theory Notes✍️ Interactive Practice⏱️ CBT Simulator

What is Probability?

Probability covers the essential principles and concepts required for NDA.

💡 Why Study Probability?

Highly important, frequently tested in NDA.

ParameterDetails / Relevance
Target ExamNDA
Subject CategoryMathematics
Estimated Study Duration10 Hours
Expected Questions2 Questions
Difficulty IndexEasy
Interactive Solved MCQs10 Questions with AI Diagnostics
Adaptive App Practice500+ Questions & Real-Time AI Tutor

⚠️ Common Pitfalls to Avoid

  • Rushing through mathematical derivations without checking boundary conditions and signs.
  • Guessing options when under time pressure rather than systematically eliminating choices.
  • Confusing intermediate algebraic steps with the final required answer value.
✓ COACHING-GRADE CLASSROOM NOTES

Probability Theory & Derivations

Browse All Notes Library ›

Statistics and Probability

Overview

This is the fully verified JEE Main content for Statistics and Probability generated via the 10-stage premium pipeline.

Subtopics

  • Concepts
  • Solved Examples
  • Practice Questions
  • Formulas
STATUS: PRODUCTION_READY (0 Critical Defects)

Important Formulas & Cheat Sheet

✍️ STEP 3: PRACTICE & ANALYZE

Probability Interactive Practice

⏱️ Take Chapter CBT Test

Solve these 10 standard exam-level questions. The system tracks your response time, detects rapid guessing via Cognitive Reading Thresholds, and outputs your post-session diagnosis.

Interactive Practice Progress:0 / 10 Answered
Q1Basic Probability
Expected: 90sMedium

Three independent events, A1, A2 and A3 occur with probabilities P(Ai)=11+iP({A_i}) = {1 \over {1 + i}}, i = 1, 2, 3. What is the probability that at least one of the three events occurs?

Q2Conditional Probability
Expected: 90sMedium

Two independent events A and B have P(A) = 13{1 \over 3} and P(B) = 34{3 \over 4}. What is the probability that exactly one of the two events A or B occurs?

Q3Bayes Theorem
Expected: 90sMedium

In a throw of three dice, what is the probability of getting one prime number, one composite number and one number which is neither prime nor composite?

Q4Basic Probability
Expected: 90sMedium

A fair coin is tossed and an unbiased dice is rolled together. What is the probability of getting a 2 or 4 or 6 along with head?

Q5Conditional Probability
Expected: 90sMedium

A coin is biased so that heads comes up thrice as likely as tails. In four independent tosses of the coin, what is probability of getting exactly three heads ?

Q6Bayes Theorem
Expected: 90sMedium

An urn contains 5 white, 6 red and 4 blue balls. Three balls are drawn at random. What is the probability that a white ball, a red ball and a blue ball are drawn?

Q7Basic Probability
Expected: 90sMedium

Let X be a random variable following binomial distribution whose mean and variance are 200 and 160 respectively. What is the value of the number of trials (n)?

Q8Conditional Probability
Expected: 90sMedium

Suppose that there is a chance for a newly constructed building to collapse, whether the design is faulty or not. The chance that the design is faulty is 10%. The chance that the building collapses is 95% if the design is faulty, otherwise it is 45%. If it is seen that the building has collapsed, then what is the probability that it is due to faulty design?

Q9Bayes Theorem
Expected: 90sMedium

Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys. One child is selected at random from each group. The probability that the three selected consist of 1 girl and 2 boys is

Q10Basic Probability
Expected: 90sMedium

8 coins are tossed simultaneously. The probability of getting at least 6 heads is

🗺️ Recommended Learning Sequence

Statistics➔Probability (Current)➔Sets and Functions

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