JEE Probability Quiz
Chapter-wise practice on classical probability, addition and multiplication rules, conditional probability, Bayes' theorem and the binomial distribution.
Skill map
Levels in this jee probability quiz
Every question is generated fresh by AI and calibrated to your level - clear a level and the next one gets harder. Miss one and the AI tutor explains Probability until it sticks, then aims a follow-up at the gap. Want to grind one level? Start the quiz and type that sub-topic as your own.
Exam focus
How Probability is asked
Sits directly on top of Permutations and Combinations - most probability questions are counting questions with a division at the end. Bayes' theorem is a recurring favourite because it is short to state and easy to apply backwards.
Cheat sheet
Probability formulas worth memorising
| Quantity | Formula |
|---|---|
| Classical probability | P(A) = favourable outcomes / total outcomes |
| Addition rule | P(A ∪ B) = P(A) + P(B) − P(A ∩ B) |
| Conditional probability | P(A|B) = P(A ∩ B) / P(B) |
| Independent events | P(A ∩ B) = P(A) · P(B) |
| Bayes' theorem | P(Aᵢ|B) = P(B|Aᵢ)P(Aᵢ) / Σ P(B|Aⱼ)P(Aⱼ) |
| Binomial distribution | P(X = r) = ⁿCr pʳ q^(n−r) |
| Binomial mean and variance | mean = np, variance = npq |
Marks lost here
Common mistakes in Probability
- Confusing mutually exclusive with independent. Mutually exclusive events cannot happen together, so P(A ∩ B) = 0; independent events can, and satisfy P(A ∩ B) = P(A)P(B). Two events with non-zero probability cannot be both.
- Reversing the conditional in Bayes' problems. P(disease | positive test) is not P(positive test | disease), and the whole point of Bayes' theorem is converting between them.
- Forgetting to subtract the intersection in the addition rule. Adding P(A) and P(B) alone counts the overlap twice.
- Applying the binomial distribution when trials are not independent or the probability changes. Drawing without replacement violates both, and requires counting instead.
- Assuming that because two outcomes exist, each has probability one half. Symmetry has to be justified, not assumed.
Game rules
How a round works
- 01Spawn
Press play - the AI generates Probability questions in seconds.
- 02Level up
Answer to earn XP and build a streak. Difficulty adapts to your accuracy and speed.
- 03Learn or lose
Every answer - right or wrong - gets an AI tutor explanation. Wrong answers respawn as follow-ups.
Leaderboard
Probability high scores
Next challenges
Related quizzes to conquer
JEE Permutations and Combinations Quiz
▶Practice on arrangements and selections, circular permutations, repeated objects, distribution problems and the counting principles behind them.
JEE Matrices Quiz
▶Practice on matrix operations, special matrices, the adjoint and inverse, and using matrices to solve systems of linear equations.
JEE Integration Quiz
▶Practice on standard integrals, substitution, integration by parts and partial fractions, the properties of definite integrals, and area under curves.
JEE Maths Quiz
▶JEE Mathematics MCQs on calculus, algebra, coordinate geometry, trigonometry, vectors and probability - the scoring subject when practiced right.
Player's guide
JEE Probability Quiz - FAQs
When should I use Bayes' theorem?
When you know the probability of evidence given a cause and need the probability of the cause given the evidence. The tell in a question is that you are given several possible sources with known rates, an observed result, and are asked which source it most likely came from.
Can two events be both mutually exclusive and independent?
Not unless one of them has probability zero. Mutual exclusivity forces P(A ∩ B) = 0, while independence requires P(A)P(B), and those agree only when one probability is zero. Questions test this directly.
Is the jee probability quiz free?
Yes - completely free, with no sign-up required. Type a topic, press start, and the AI generates an adaptive Probability quiz with an explanation for every answer.
Can teachers host this jee probability quiz live for a class?
Yes - create a free teacher account, host a live room on "Probability", and students join with a 6-character code at quff.in/join. No student accounts needed.
From the blog
Probability guides & reading
JEE Probability: 30 Practice Questions with Solutions
Thirty solved Probability questions, including the conditional that everyone reverses and the two words that are not synonyms.
Exam PrepJEE Integration: 30 Practice Questions with Solutions
Thirty solved Integration questions, organised around the only decision that matters: which technique the integrand is asking for.
Exam PrepJEE Permutations and Combinations: 30 Solved Questions
Thirty solved counting questions. The formulas are trivial; modelling the situation correctly is the entire difficulty.
More exam prep quizzes
Ready, player?
Six adaptive Probability questions. About two minutes. Climb the podium.