Probability Most Repeated Questions for JEE Main 2026 | PYQ Quiz

Probability – Most Repeated Questions for JEE Main 2026

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Probability is one of the most important and scoring chapters in JEE Main Mathematics. Every year, questions are asked from conditional probability, Bayes’ theorem, die problems, urn problems and distribution based numericals.

This page contains most repeated previous year questions (PYQs) of Probability for JEE Main 2026. Practicing these questions will significantly improve accuracy and exam confidence.

Q1. Three urns A, B and C contain 4R–6B, 5R–5B and λR–4B balls respectively. One urn is selected at random and a red ball is drawn. If P(C | Red) = 0.4, then the square of the side of the largest equilateral triangle inscribed in y² = λx is:

Correct Answer: 432

Q2. A fair n-faced die is rolled repeatedly until a number less than n appears. If the mean number of tosses is n/9, find n.

Correct Answer: 10

Q3. A bag contains 8 balls. Four balls are drawn and found to be 2 white and 2 black. The probability that the bag contains equal number of white and black balls is:

2/5

2/7

1/7

1/5

Q4. A fair die is thrown until 2 appears. The probability that 2 appears in even number of throws is:

5/11

5/6

1/6

6/11

Q5. Bag 1 has 4W–5B and Bag 2 has nW–3B. One ball is transferred from Bag 1 to Bag 2. If probability of drawing a white ball from Bag 2 is 29/45, find n.

Q6. Three distinct numbers are selected from {1,2,…,40}. If probability that they are in increasing G.P. is m/n (gcd=1), find m+n.

Correct Answer: 2477

Q7. If P(X=x)=k(x+1)3⁻ˣ for x=0,1,2,3, then P(X ≥ 3) is:

1/9

8/27

7/27

4/9

Q8. Words are formed using all letters of GARDEN. The probability that vowels are NOT in alphabetical order is:

1/4

1/2

1/3

2/3

Q9. Three urns contain (7R,5B), (5R,7B) and (6R,6B). If a black ball is drawn, the probability that it is from urn A is:

4/17

5/16

5/18

7/18

Q10. Coefficients a,b,c are chosen from {1,2,…,8}. The probability that ax²+bx+c=0 has repeated roots is:

1/128

1/64

3/256

3/128

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Probability – JEE Main Theory

Key topics include conditional probability, Bayes’ theorem, die problems, card problems, and random variables. Mastering PYQs guarantees marks in JEE Main.

FAQs – Probability JEE Main 2026

Q. Are these questions enough for JEE Main?
Yes, these are most repeated PYQ-level questions.

Q. How many questions come from Probability?
Usually 1–2 questions every year.