Probability — Basic — JEE Main PYQs & Practice Questions

Probability — Basic is a Mathematics chapter in the JEE Main syllabus. This page brings together 78 previous-year and practice questions on Probability — Basic, organised into 4 topics: Sample Space and Events, Classical Probability, Addition Theorem and Mutually Exclusive Events. Most questions come with a step-by-step solution you can work through free in PrepWiser.

Download Probability — Basic JEE Main PYQs as a free PDF (with answer key)

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Chapter weightage: how many questions each chapter had per shift in the 2024–26 papers.

Sample Space and Events

• Let Ω be the sample space and A ⊆ Ω be an event. Given below are two statements : (S1)…
• Let S = { w₁,w₂,......} be the sample space associated to a random experiment. Let P(wₙ)…
• Two dice are thrown independently. Let A be the event that the number appeared on the…
• A biased die is marked with numbers 2, 4, 8, 16, 32, 32 on its faces and the probability…

Classical Probability

• Let A be the event that the absolute difference between two randomly choosen real…
• Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and…
• Two number k₁ and k₂ are randomly chosen from the set of natural numbers. Then, the…
• Let S = {1, 2, 3, 4, 5, 6}. Then the probability that a randomly chosen onto function g…
• Two dies are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then…
• Let the mean and variance of 7 observations 2,4,10,x,12,14,y,x>y, be 8 and 16…
• Two distinct numbers a and b are selected at random from 1,2,3,…,50. The probability…
• The coefficients a, b, c in the quadratic equation a x²+b x+c=0 are chosen from the set…
• If a point A(x, y) lies in the region bounded by the y-axis, straight lines 2y + x = 6…
• In a game two players A and B take turns in throwing a pair of fair dice starting with…
• The probability that a randomly chosen 2 × 2 matrix with all the entries from the set of…
• A bag contains six balls of different colours. Two balls are drawn in succession with…
• Two integers x and y are chosen with replacement from the set {0,1,2,3, …, 10}. Then the…
• Four dice are thrown simultaneously and the numbers shown on these dice are recorded in…
• If the numbers appeared on the two throws of a fair six faced die are α and β, then the…
• Let N denote the number that turns up when a fair die is rolled. If the probability that…
• The probability that a randomly chosen one-one function from the set a, b, c, d to the…
• Two fair dice are thrown. The numbers on them are taken as λ and μ, and a system of…
• The probability that a randomly selected 2-digit number belongs to the set n ∈ N : (2ⁿ -…
• Let 9 distinct balls be distributed among 4 boxes, B₁, B₂, B₃ and B₄. If the probability…

Addition Theorem

• Let Ajay will not appear in JEE exam with probability p=2/7, while both Ajay and Vijay…
• Let A, B and C be three events such that the probability that exactly one of A and B…
• An integer is chosen at random from the integers 1,2,3, …, 50. The probability that the…
• The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and…
• A survey shows that 73% of the persons working in an office like coffee, whereas 65%…
• Let A and B be two events such that the probability that exactly one of them occurs is…

Mutually Exclusive Events

• Let E₁, E₂, E₃ be three mutually exclusive events such that P(E₁)=(2+3 p)/6…

More Mathematics chapters

• Sets
• Relations & Functions (Basic)
• Trigonometric Ratios & Identities
• Trigonometric Equations
• Inverse Trigonometric Functions
• Properties of Triangles
• Complex Numbers
• Quadratic Equations & Polynomial Inequalities
• Sequences & Series
• Binomial Theorem
• Permutations & Combinations
• Mathematical Induction
• Statistics
• Straight Lines
• Circles
• Parabola
• Ellipse
• Hyperbola
• Limits
• Continuity & Differentiability
• Differentiation
• Applications of Derivatives
• Indefinite Integration
• Definite Integration
• Area Under Curves
• Differential Equations
• Vectors
• Three Dimensional Geometry
• Matrices
• Determinants
• Functions (Advanced)
• Probability — Advanced

Frequently asked questions

How many Probability — Basic questions are there for JEE Main?

PrepWiser has 78 Probability — Basic questions for JEE Main, grouped into 4 topics such as Sample Space and Events, Classical Probability and Addition Theorem.

Are these Probability — Basic questions from previous-year JEE Main papers?

Yes — most are genuine previous-year questions from past JEE Main papers, and the rest are practice questions written to match the JEE Main pattern and difficulty.

Where can I see the answers and solutions to these Probability — Basic questions?

Open any Probability — Basic question in PrepWiser (it is free) to attempt it; most come with a step-by-step solution.