Probability: Basic JEE Main PYQs PDF, 2020–2026

Probability: Basic has 79 questions in JEE Main papers from 2020 to 2026, about 11 per year across all shifts. The free PDF has 78 of them, each with its answer. The most asked topic is Classical Probability (68 questions), followed by Addition Theorem (6) and Sample Space and Events (4).

Asked in JEE Main: 792020–2026, all shifts
In this free PDF: 78with answers
Asked in 2026: 9Latest paper: 2026 Apr S2
Most asked topic: Classical Probability68 Qs · 86% of the chapter
Difficulty mix: 18% easy · 77% medium · 5% hardof the questions in the PDF

Answer key includedNo loginPractise online

Source: official NTA JEE Main papers · Updated 17 Oct 2026

Practise these 78 questions free, no login Download PDF (0.2 MB)

1 of this chapter's questions came back in a later paper (2021–2026). See the most repeated.

How often it's asked in JEE Main

Probability: Basic had about 0.5 questions per shift in recent JEE Main papers (2024–26). Most asked topic: Classical Probability. About 9 questions in the 2026 papers.

It came up in most 2024–26 shifts in our bank (about 30 shifts). Question types in 2020–2026: about 66 MCQs and about 13 numerical.

How many questions from Probability: Basic in JEE Main, year by year

Year	Questions	Per shift	MCQ	Numerical
2026	9	0.5	4	5
2025	8	0.4	7	1
2024	13	0.7	12	1
2023	13	0.5	11	2
2022	12	0.5	9	3
2021	16	0.6	16	0
2020	8	0.5	7	1
2020–2026	79	0.5	66	13

Most asked Probability: Basic topics, 2020–2026

Topic	Questions
Classical Probability	68
Addition Theorem	6
Sample Space and Events	4
Mutually Exclusive Events	1

Counted from PrepWiser's question bank of JEE Main papers, 2020–2026. Per shift = questions that year ÷ shifts in our bank. Updated 17 Oct 2026.

Download these numbers (CSV)

See all chapters' weightage →

Revise Probability: Basic before you practise

Two free sheets, made from the past JEE Main questions on this chapter.

Revision notes7 pages, 16 ideas with the usual mistakes.Open the revision notes Formula sheet2 pages, all 16 formulas.Open the formula sheet

Probability: Basic questions per year

Year	Asked	In PDF
2026	9	9
2025	8	8
2024	13	13
2023	13	13
2022	12	12
2021	16	16
2020	8	7

in the free PDF asked, not in the PDFThe PDF only has questions we can print in full with a checked answer, so it holds 78 of the 79 asked.

Topic-wise weightage by year

How many Probability: Basic questions each topic had in every JEE Main year (all shifts), counting every question asked, including ones not in the PDF. Darker cells mean more questions.

Topic	Asked	Share	2026	2025	2024	2023	2022	2021	2020
Classical Probability	68	86%	9	8	11	10	10	15	5
Addition Theorem	6	8%	·	·	2	·	·	1	3
Sample Space and Events	4	5%	·	·	·	3	1	·	·
Mutually Exclusive Events	1	1%	·	·	·	·	1	·	·
All topics	79	100%	9	8	13	13	12	16	8

Swipe the table sideways for older years.

Newest questions (2026)

All 9 JEE Main 2026 Probability: Basic questions in the free PDF, latest shift first.

JEE Main 2026 · 6 Apr · Shift 2 · Classical Probability

A bag contains 6 blue and 6 green balls. Pairs of balls are drawn without replacement until the bag is empty. The probability that each drawn pair consists of one blue and one green ball is :

Solve it online →
JEE Main 2026 · 4 Apr · Shift 2 · Classical Probability

From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in an increasing A.P. is equal to $\frac{a}{b}$ , where $a,b\in$ N and $\gcd (a,b)=1$ , then $a+b$ is equal to $\_\_\_\_$
Solve it online →
JEE Main 2026 · 4 Apr · Shift 1 · Classical Probability

A coin is tossed 8 times. If the probability that exactly 4 heads appear in the first six tosses and exactly 3 heads appear in the last five tosses is $p$ , then $96p$ is equal to $\_\_\_\_$ .
Solve it online →
JEE Main 2026 · 2 Apr · Shift 1 · Classical Probability

Let a, b, c ∈ {1, 2, 3, 4}. If the probability, that $ax^{2}+2\sqrt{2}bx+c>0$ for all $x\in {\mathbb{R}}$ , is $\frac{m}{n}$ , $gcd(m,n)=1$ , then $m+n$ is equal to ________.
Solve it online →
JEE Main 2026 · 2 Apr · Shift 2 · Classical Probability

A man throws a fair coin repeatedly. He gets 10 points for each head he throws and 5 points for each tail he throws. If the probability that he gets exactly 30 points is $\frac{m}{n}$ , gcd $(m,n)=1$ , then m + n is equal to :
Solve it online →
JEE Main 2026 · 24 Jan · Shift 2 · Classical Probability

Let S be a set of 5 elements and ${\mathrm{P}}({\mathrm{S}})$ denote the power set of S . Let E be an event of choosing an ordered pair (A, B) from the set ${\mathrm{P}}({\mathrm{S}})\times {\mathrm{P}}({\mathrm{S}})$ such that ${\mathrm{A}}\cap {\mathrm{B}}=\emptyset$ . If the probability of the event $E$ is $\frac{3^{p}}{2^{q}}$ , where $p,q\in N$ , then $p+q$ is equal to
Solve it online →
JEE Main 2026 · 23 Jan · Shift 1 · Classical Probability

From the first 100 natural numbers, two numbers first $a$ and then $b$ are selected randomly without replacement. If the probability that ${\mathrm{a}}-{\mathrm{b}}\geqslant 10$ is $\frac{{\mathrm{m}}}{{\mathrm{n}}},\gcd ({\mathrm{m}},{\mathrm{n}})=1$ , then ${\mathrm{m}}+{\mathrm{n}}$ is equal to

$\_\_\_\_$ .
Solve it online →
JEE Main 2026 · 22 Jan · Shift 1 · Classical Probability

Two distinct numbers $a$ and $b$ are selected at random from $1,2,3,\ldots,50$ . The probability, that their product $ab$ is divisible by 3 , is

Solve it online →
JEE Main 2026 · 21 Jan · Shift 1 · Classical Probability

Let the mean and variance of 7 observations $2,4,10,x,12,14,y,x>y$ , be 8 and 16 respectively. Two numbers are chosen from $\{1,2,3,x-4,y,5\}$ one after another without replacement, then the probability, that the smaller number among the two chosen numbers is less than 4 , is :

Solve it online →

Practise the 2026 Probability: Basic questions online

Sample questions from recent papers

JEE Main 2024 · 1 Feb · Shift 2 · Addition Theorem

Let Ajay will not appear in JEE exam with probability

\mathrm{p}=\frac{2}{7}

, while both Ajay and Vijay will appear in the exam with probability

\mathrm{q}=\frac{1}{5}

. Then the probability, that Ajay will appear in the exam and Vijay will not appear is :

(A) $\frac{9}{35}$
(B) $\frac{3}{35}$
(C) $\frac{24}{35}$
(D) $\frac{18}{35}$

Show answer

Answer: (D)

Solve online

JEE Main 2023 · 1 Feb · Shift 2 · Sample Space and Events

Two dice are thrown independently. Let $\mathrm{A}$ be the event that the number appeared on the $1^{\text {st }}$ die is less than the number appeared on the $2^{\text {nd }}$ die, $\mathrm{B}$ be the event that the number appeared on the $1^{\text {st }}$ die is even and that on the second die is odd, and $\mathrm{C}$ be the event that the number appeared on the $1^{\text {st }}$ die is odd and that on the $2^{\text {nd }}$ is even. Then :

(A)A and B are mutually exclusive
(B)the number of favourable cases of the events A, B and C are 15, 6 and 6 respectively
(C)B and C are independent
(D)the number of favourable cases of the event $(\mathrm{A\cup B)\cap C}$ is 6

Show answer

Answer: (D)

Solve online

JEE Main 2022 · 26 Jul · Shift 1 · Mutually Exclusive Events

Let $\mathrm{E}_{1}, \mathrm{E}_{2}, \mathrm{E}_{3}$ be three mutually exclusive events such that $\mathrm{P}\left(\mathrm{E}_{1}\right)=\frac{2+3 \mathrm{p}}{6}, \mathrm{P}\left(\mathrm{E}_{2}\right)=\frac{2-\mathrm{p}}{8}$ and $\mathrm{P}\left(\mathrm{E}_{3}\right)=\frac{1-\mathrm{p}}{2}$ . If the maximum and minimum values of $\mathrm{p}$ are $\mathrm{p}_{1}$ and $\mathrm{p}_{2}$ , then $\left(\mathrm{p}_{1}+\mathrm{p}_{2}\right)$ is equal to :

(A) $\frac{2}{3}$
(B) $\frac{5}{3}$
(C) $\frac{5}{4}$
(D)1

Show answer

Answer: (B)

Solve online

The free PDF above has all 78 questions grouped by topic, with an answer key.

Practise these online, free, no login

Answer Probability: Basic PYQs in the browser, get each one checked instantly and open the step-by-step solution where there is one.

Practise Probability: Basic online

Frequently asked

How many questions come from Probability: Basic in JEE Main?

79 questions from 2020 to 2026, about 11 per year. In 2026 it had 9. The free PDF has 78 of them.

Which Probability: Basic topics are most important for JEE Main?

By past papers: Classical Probability (86%), Addition Theorem (8%) and Sample Space and Events (5%) of all Probability: Basic questions.

Is the Probability: Basic PYQ PDF free?

Yes. The PDF and its answer key are free, and you can practise the questions online with no login, with step-by-step solutions where available.

Prefer to solve online? Practise Probability: Basic online with step-by-step solutions where available, or work through JEE Main papers shift by shift.

More Mathematics chapters

Applications of Derivatives (156 asked · 153 in PDF)
Area Under Curves (138 asked · 136 in PDF)
Binomial Theorem (197 asked · 196 in PDF)
Circles (117 asked · all in PDF)
Complex Numbers (162 asked · 161 in PDF)
Continuity & Differentiability (94 asked · all in PDF)
Definite Integration (225 asked · 223 in PDF)
Determinants (188 asked · all in PDF)
Differential Equations (204 asked · 202 in PDF)
Differentiation (38 asked · all in PDF)
Ellipse (100 asked · all in PDF)
Functions (Advanced) (71 asked · all in PDF)
Hyperbola (63 asked · 62 in PDF)
Indefinite Integration (60 asked · all in PDF)
Inverse Trigonometric Functions (94 asked · all in PDF)
Limits (110 asked · all in PDF)
Matrices (111 asked · all in PDF)
Parabola (107 asked · 104 in PDF)
Permutations & Combinations (163 asked · 162 in PDF)
Probability: Advanced (97 asked · all in PDF)
Quadratic Equations & Polynomial Inequalities (129 asked · 128 in PDF)
Relations & Functions (Basic) (139 asked · 137 in PDF)
Sequences & Series (247 asked · 246 in PDF)
Sets (39 asked · all in PDF)
Statistics (104 asked · all in PDF)
Straight Lines (130 asked · 123 in PDF)
Three Dimensional Geometry (297 asked · all in PDF)
Trigonometric Equations (48 asked · all in PDF)
Trigonometric Ratios & Identities (85 asked · 63 in PDF)
Vectors (216 asked · 212 in PDF)

JEE Main PYQs by year: 2026 · 2025 · 2024 · 2023 · 2022 · 2021 · 2020

Practise these 78 questions free, no login

Answers follow NTA's final answer keys. Typing errors are possible, so check doubtful answers against the official key. Spotted a mistake? prepwiser.in/feedback · Terms: prepwiser.in/terms

Probability: Basic JEE Main PYQs PDF, 2020–2026

How often it's asked in JEE Main

How many questions from Probability: Basic in JEE Main, year by year

Most asked Probability: Basic topics, 2020–2026

Revise Probability: Basic before you practise

Send this chapter to your study group

Probability: Basic questions per year

Topic-wise weightage by year

Newest questions (2026)

Sample questions from recent papers

Practise these online, free, no login

Frequently asked

How many questions come from Probability: Basic in JEE Main?

Which Probability: Basic topics are most important for JEE Main?

Is the Probability: Basic PYQ PDF free?

More Mathematics chapters