WBJEE 2025 Probability Practice Questions with Solutions

WBJEE 2025 Probability Practice Questions with Solutions: When it comes to scoring good marks in the Mathematics paper (Paper I), the best way to go about it is practising with WBJEE Probability sample questions. Probability being a fundamental part of the WBJEE 2025 syllabus PDF will feature questions from 11th and 12th grade topics, such as Addition and Multiplication Rules of Probability, Repeated Independent Trials, Binomial Distribution, Conditional Probability, and Bayes’ Theorem, etc. If you see the past years' question papers, 4-5 questions are frequently asked from these topics every year. So, we suggest you attempt WBJEE 2025 Probability practice questions with solutions diligently once you have completed the syllabus and are looking to assess your progress or exam preparation. Not only will it help you prepare for the important topics, but also improve your speed as you start solving the questions within the set hours. After analyzing the Mathematics question papers over the years, our experts have compiled a series of WBJEE 2025 Probability practice questions that might appear in the exam this year. We have also provided the WBJEE 2025 Probability weightage in this article, allowing you to know the expected number of questions and marks from this chapter in the WBJEE 2025 exam. 

Also Check - Is Class 12 Syllabus Enough for WBJEE?

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List of WBJEE 2025 Probability Sub Topics for Exam Preparation

The WBJEE 2025 Statistics and Probability section lists all the topics from this chapter that will be covered in the WBJEE exam 2025. Topics such as Frequency Distribution, Addition and Multiplication Rules of Probability, Conditional Probability, and Bayes’ Theorem are some of the important things to consider when attempting the WBJEE 2025 practice questions for Probability. Check the list of WBJEE 2025 Probability sub-topics for exam preparation below.

WBJEE 2025 Probability Expected Weightage

Statistics and Probability are important parts of the WBJEE 2025 Mathematics syllabus PDF. You can expect 4-5 questions from this section, which makes the Probability weightage around 7%. Check the table below for detailed information. 

WBJEE 2025 Probability Practice Questions with Solutions

WBJEE 2025 Probability practice questions and solutions will prep you up for multiple types of questions based on different concepts and formulas. If you are planning to sit for the WBJEE exam 2025, we recommend that you solve several WBJEE 2025 practice questions for Probability to improve your conceptual understanding of the topic and ensure the best possible marks from this section of the exam. Check some of the most important WBJEE 2025 Probability practice questions with solutions below.

Q1. A person draws out two balls successively from a bag containing 6 red and 4 white balls. The Probability that at least one of them will be red is: 

a. 78/90

b. 48/90

c. 30/90

d. 12/90

Ans. a. 78/90

Q2. Three numbers are chosen at random from 1 to 20. The Probability that they are consecutive is:

a. 1/190

b. 5/190

c. 10/190

d. 3/190

Ans. d. 3/190

Q3. 4 boys and 2 girls occupy seats in a row at random. Then the Probability that the two girls occupy seats side by side is:

a. 1/2

b. 1/3

c. 1/5

d. 1/7 

Ans. b.1/3

Q4. The two smallest squares are chosen one by one on a chessboard. The Probability that they have a side in common is:

a. 1/19

b. 1/9

c. 1/18

d. 1/8

Ans. c. 1/18

Q5. A biased coin with Probability p(0<p<1) of getting a head is tossed until a head appears for the first time. If the Probability that the number of tosses required is even is 2/5, then p =

a. 1/4 

b. 1/3

c. 3/4

d. 2/3 

Ans. b. 1/3 

Q6. A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The Probability that the determinant chosen is non-zero is:

a. 1/4 

b. 3/16

c. 5/8

d. 2/8

Ans. a. 1/4

Q7. Four persons A, B, C, and D throw an unbiased die, turn by turn, in succession till one gets an even number and wins the game. What is the Probability that A wins the game if A begins?

a. 1/4

b. 8/15

c. 7/15

d. 3/2

Ans. b. 8/15 

Q8. A rifleman is firing at a distant target and has only a 10% chance of hitting it. The least number of rounds he must fire to have more than a 50% chance of hitting it at least once, is:

a. 5

b. 7

c. 9

d. 11

Ans. b. 7

Q9. A problem in mathematics is given to 4 students whose chances of solving individually are 1/2, 1/3, 1/4, and 1/5. The Probability that the problem will be solved at least by one student is:

a. 2/3

b. 4/5

c. 3/5

d. 3/4 

Ans. b. 4/5 

Q10. To get a head at least once with Probability ≥ 0.9, the minimum number of times an unbiased coin needs to be tossed is:

a. 3

b. 4

c. 5

d. 6  

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