Probability JEE Questions PDF with Solution, Practice Now

Probability JEE Questions are an important part of Mathematics in JEE Main and Advanced exams. This topic deals with the likelihood of events happening and helps students understand random experiments, combinations, and permutations in a structured way. Practicing probability JEE Mains questions and solving JEE Advanced probability problems improves calculation speed, logical thinking, and accuracy. By solving important probability PYQs JEE and analyzing JEE Main previous years paper, students can identify recurring patterns and prepare effectively according to the JEE Main exam pattern.

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Probability JEE Questions Overview

Probability is a crucial chapter under the Mathematics syllabus for JEE. It covers fundamental concepts like events, sample space, conditional probability, independent events, and Bayes’ theorem. In JEE Main, questions are mostly straightforward numerical problems based on formulas and basic concepts. In JEE Advanced, questions are often conceptual and tricky, testing the student’s ability to think logically and solve multi-step problems.

The JEE exam pattern shows that one to two questions from probability are commonly asked in JEE Main, while JEE Advanced can include two to three questions with higher difficulty.

Practice Probability JEE Questions

Practice is key to mastering probability. Solving probability JEE Mains questions regularly helps students strengthen basic formulas and concepts, while attempting JEE Advanced probability problems trains them to handle complex scenarios involving conditional probability, permutations, and combinations.

1. A and B are persons standing in corner square as shown in the figure. They start to move on same time with equal speed. If A can move only in East or South direction and B can move only in North or West direction. If in each step they reach in next square and their choice of direction are equally likely. If it is given that A and B meet in shaded region, then the probability that they have met in the top most shaded square, is

A. 1/6
B. (5 C₂) / (10 C₃)
C. 1 / (10 C₅)
D. 1 / (2⁵ × 6)

2. If the sides of a triangle are decided by the throw of a single dice thrice, the probability that triangle is of maximum area given that it is an isosceles triangle, is

A. 1/7
B. 1/27
C. 1/14
D. None of these

3. Two positive real numbers x and y satisfying x ≤ 1 and y ≤ 1 are chosen at random. Then probability that x + y ≤ 1, given that x² + y² ≥ 1/4, is

A. (8 − π) / (16 − π)
B. (4 − π) / (16 − π)
C. (4 − π) / (8 − π)
D. None of these

4. Two non-negative integers are chosen at random. The probability that the sum of the square is divisible by 10, is

A. 17/100
B. 9/50
C. 7/50
D. 9/16

5. A bag contains four tickets numbered 00, 01, 10 and 11. Four tickets are chosen at random with replacement, then the probability that sum of the numbers on the tickets is 23, is

A. 3/32
B. 1/64
C. 5/256
D. 7/256

6. India play two matches each with West Indies and Australia. In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50, respectively. Assuming that the outcomes are independent, then the probability of India getting at least 7 points, is

A. 0.8750
B. 0.0875
C. 0.0625
D. 0.0250

7. All the spades are taken out from a pack of cards. From these cards, cards are drawn out one by one without replacement till the ace of spades comes. The probability that the ace come in the 4th draw, is

A. 1/13
B. 12/13
C. 4/13
D. None of these

8. A letter is known to have come from CHENNAI, JAIPUR, NAINITAL, DUBAI and MUMBAI. On the post mark only two consecutive letters AI are legible. Then the probability that it came from MUMBAI, is

A. 49/319
B. 84/403
C. 22/159
D. 21/319

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Probability JEE Questions PDF with Solution

For structured preparation, PW provides a Practice Probability JEE Questions PDF with Answer and Solution for Probability. The PDF includes probability JEE Mains questions, detailed solutions to JEE Advanced probability problems, and a collection of important probability PYQs JEE.

The PDF is designed according to the JEE exam pattern, allowing students to practice problems exactly as they appear in exams.