JEE Exam > JEE Notes > Mathematics (Maths) for JEE Main & Advanced > Probability: JEE Mains Previous Year Questions (2021-2024)
Probability: JEE Mains Previous Year Questions (2021-2024) | Mathematics (Maths) for JEE Main & Advanced PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
JEE Mains Previous Year Questions
(2021-2024): Probability
2024
Q1 - 2024 (01 Feb Shift 1)
A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at
random without replacement and it was found that 2 balls are white and other 2 balls are
black. The probability that the bag contains equal number of white and black balls is:
(1)
2
5
(2)
2
7
(3)
1
7
(4)
1
5
Q2 - 2024 (01 Feb Shift 2)
Let Ajay will not appear in JEE exam with probability p =
2
7
, while both Ajay and Vijay will
appear in the exam with probability ?? =
1
5
. Then the probability, that Ajay will appear in
the exam and Vijay will not appear is :
(1)
9
35
(2)
18
35
(3)
24
35
(4)
3
35
Q3 - 2024 (27 Jan Shift 1)
A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses
required and let ?? = ?? (?? = 3), ?? = ?? (?? = 3) and ?? = P(X = 6 | X > 3). Then
b+c
a
is equal
to
Page 2
JEE Mains Previous Year Questions
(2021-2024): Probability
2024
Q1 - 2024 (01 Feb Shift 1)
A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at
random without replacement and it was found that 2 balls are white and other 2 balls are
black. The probability that the bag contains equal number of white and black balls is:
(1)
2
5
(2)
2
7
(3)
1
7
(4)
1
5
Q2 - 2024 (01 Feb Shift 2)
Let Ajay will not appear in JEE exam with probability p =
2
7
, while both Ajay and Vijay will
appear in the exam with probability ?? =
1
5
. Then the probability, that Ajay will appear in
the exam and Vijay will not appear is :
(1)
9
35
(2)
18
35
(3)
24
35
(4)
3
35
Q3 - 2024 (27 Jan Shift 1)
A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses
required and let ?? = ?? (?? = 3), ?? = ?? (?? = 3) and ?? = P(X = 6 | X > 3). Then
b+c
a
is equal
to
Q4 - 2024 (27 Jan Shift 2)
An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made
without replacement. The probability, that the first draw gives all white balls and the
second draw gives all black balls, is :
(1)
5
256
(2)
5
715
(3)
3
715
(4)
3
256
Q5 - 2024 (29 Jan Shift 1)
A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number
of throws , is
(1)
5
6
(2)
1
6
(3)
5
11
(4)
6
11
Q6 - 2024 (29 Jan Shift 2)
An integer is chosen at random from the integers 1,2,3, … ,50. The probability that the
chosen integer is a multiple of atleast one of 4, 6 and 7 is
(1)
8
25
(2)
21
50
(3)
9
50
(4)
14
25
Page 3
JEE Mains Previous Year Questions
(2021-2024): Probability
2024
Q1 - 2024 (01 Feb Shift 1)
A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at
random without replacement and it was found that 2 balls are white and other 2 balls are
black. The probability that the bag contains equal number of white and black balls is:
(1)
2
5
(2)
2
7
(3)
1
7
(4)
1
5
Q2 - 2024 (01 Feb Shift 2)
Let Ajay will not appear in JEE exam with probability p =
2
7
, while both Ajay and Vijay will
appear in the exam with probability ?? =
1
5
. Then the probability, that Ajay will appear in
the exam and Vijay will not appear is :
(1)
9
35
(2)
18
35
(3)
24
35
(4)
3
35
Q3 - 2024 (27 Jan Shift 1)
A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses
required and let ?? = ?? (?? = 3), ?? = ?? (?? = 3) and ?? = P(X = 6 | X > 3). Then
b+c
a
is equal
to
Q4 - 2024 (27 Jan Shift 2)
An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made
without replacement. The probability, that the first draw gives all white balls and the
second draw gives all black balls, is :
(1)
5
256
(2)
5
715
(3)
3
715
(4)
3
256
Q5 - 2024 (29 Jan Shift 1)
A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number
of throws , is
(1)
5
6
(2)
1
6
(3)
5
11
(4)
6
11
Q6 - 2024 (29 Jan Shift 2)
An integer is chosen at random from the integers 1,2,3, … ,50. The probability that the
chosen integer is a multiple of atleast one of 4, 6 and 7 is
(1)
8
25
(2)
21
50
(3)
9
50
(4)
14
25
Q7 - 2024 (30 Jan Shift 1)
Two integers x and y are chosen with replacement from the set {0,1,2,3, … ,10}. Then the
probability that |?? - ?? | > 5 is :
(1)
30
121
(2)
62
121
(3)
60
121
(4)
31
121
Q8 - 2024 (31 Jan Shift 1)
Bag A contains 3 white, 7 red balls and bag B contains 3 white, 2 red balls. One bag is
selected at random and a ball is drawn from it. The probability of drawing the ball from
the bag ?? , if the ball drawn in white, is :
(1)
1
4
(2)
1
9
(3)
1
3
(4)
3
10
Q9 - 2024 (31 Jan Shift 1)
Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue
and 15 orange marbles, with replacement being made after each drawing. Then the
probability, that first drawn marble is red and second drawn marble is white, is
(1)
2
25
(2)
4
25
(3)
2
3
(4)
4
75
Q10 - 2024 (31 Jan Shift 1)
Three rotten apples are accidently mixed with fifteen good apples. Assuming the random
variable ?? to be the number of rotten apples in a draw of two apples, the variance of ?? is
Page 4
JEE Mains Previous Year Questions
(2021-2024): Probability
2024
Q1 - 2024 (01 Feb Shift 1)
A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at
random without replacement and it was found that 2 balls are white and other 2 balls are
black. The probability that the bag contains equal number of white and black balls is:
(1)
2
5
(2)
2
7
(3)
1
7
(4)
1
5
Q2 - 2024 (01 Feb Shift 2)
Let Ajay will not appear in JEE exam with probability p =
2
7
, while both Ajay and Vijay will
appear in the exam with probability ?? =
1
5
. Then the probability, that Ajay will appear in
the exam and Vijay will not appear is :
(1)
9
35
(2)
18
35
(3)
24
35
(4)
3
35
Q3 - 2024 (27 Jan Shift 1)
A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses
required and let ?? = ?? (?? = 3), ?? = ?? (?? = 3) and ?? = P(X = 6 | X > 3). Then
b+c
a
is equal
to
Q4 - 2024 (27 Jan Shift 2)
An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made
without replacement. The probability, that the first draw gives all white balls and the
second draw gives all black balls, is :
(1)
5
256
(2)
5
715
(3)
3
715
(4)
3
256
Q5 - 2024 (29 Jan Shift 1)
A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number
of throws , is
(1)
5
6
(2)
1
6
(3)
5
11
(4)
6
11
Q6 - 2024 (29 Jan Shift 2)
An integer is chosen at random from the integers 1,2,3, … ,50. The probability that the
chosen integer is a multiple of atleast one of 4, 6 and 7 is
(1)
8
25
(2)
21
50
(3)
9
50
(4)
14
25
Q7 - 2024 (30 Jan Shift 1)
Two integers x and y are chosen with replacement from the set {0,1,2,3, … ,10}. Then the
probability that |?? - ?? | > 5 is :
(1)
30
121
(2)
62
121
(3)
60
121
(4)
31
121
Q8 - 2024 (31 Jan Shift 1)
Bag A contains 3 white, 7 red balls and bag B contains 3 white, 2 red balls. One bag is
selected at random and a ball is drawn from it. The probability of drawing the ball from
the bag ?? , if the ball drawn in white, is :
(1)
1
4
(2)
1
9
(3)
1
3
(4)
3
10
Q9 - 2024 (31 Jan Shift 1)
Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue
and 15 orange marbles, with replacement being made after each drawing. Then the
probability, that first drawn marble is red and second drawn marble is white, is
(1)
2
25
(2)
4
25
(3)
2
3
(4)
4
75
Q10 - 2024 (31 Jan Shift 1)
Three rotten apples are accidently mixed with fifteen good apples. Assuming the random
variable ?? to be the number of rotten apples in a draw of two apples, the variance of ?? is
(1)
37
153
(2)
57
153
(3)
47
153
(4)
40
153
Q11 - 2024 (31 Jan Shift 2)
A coin is based so that a head is twice as likely to occur as a tail. If the coin is tossed 3
times, then the probability of getting two tails and one head is-
(1)
2
9
(2)
1
9
(3)
2
27
(4)
1
27
Answer Key
Solutions
Q1
P(4 W4 B/2 W2 B) =
?? (4?? 4?? ) × ?? (2?? 2?? /4?? 4?? )
?? (2?? 6?? ) × ?? (2?? 2?? /2?? 6?? ) + ?? (3?? 5?? ) × ?? (2?? 2?? /3?? 5?? )
¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯
+ ? … … + ?? (6?? 2?? ) × ?? (2?? 2?? /6?? 2?? )
Page 5
JEE Mains Previous Year Questions
(2021-2024): Probability
2024
Q1 - 2024 (01 Feb Shift 1)
A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at
random without replacement and it was found that 2 balls are white and other 2 balls are
black. The probability that the bag contains equal number of white and black balls is:
(1)
2
5
(2)
2
7
(3)
1
7
(4)
1
5
Q2 - 2024 (01 Feb Shift 2)
Let Ajay will not appear in JEE exam with probability p =
2
7
, while both Ajay and Vijay will
appear in the exam with probability ?? =
1
5
. Then the probability, that Ajay will appear in
the exam and Vijay will not appear is :
(1)
9
35
(2)
18
35
(3)
24
35
(4)
3
35
Q3 - 2024 (27 Jan Shift 1)
A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses
required and let ?? = ?? (?? = 3), ?? = ?? (?? = 3) and ?? = P(X = 6 | X > 3). Then
b+c
a
is equal
to
Q4 - 2024 (27 Jan Shift 2)
An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made
without replacement. The probability, that the first draw gives all white balls and the
second draw gives all black balls, is :
(1)
5
256
(2)
5
715
(3)
3
715
(4)
3
256
Q5 - 2024 (29 Jan Shift 1)
A fair die is thrown until 2 appears. Then the probability, that 2 appears in even number
of throws , is
(1)
5
6
(2)
1
6
(3)
5
11
(4)
6
11
Q6 - 2024 (29 Jan Shift 2)
An integer is chosen at random from the integers 1,2,3, … ,50. The probability that the
chosen integer is a multiple of atleast one of 4, 6 and 7 is
(1)
8
25
(2)
21
50
(3)
9
50
(4)
14
25
Q7 - 2024 (30 Jan Shift 1)
Two integers x and y are chosen with replacement from the set {0,1,2,3, … ,10}. Then the
probability that |?? - ?? | > 5 is :
(1)
30
121
(2)
62
121
(3)
60
121
(4)
31
121
Q8 - 2024 (31 Jan Shift 1)
Bag A contains 3 white, 7 red balls and bag B contains 3 white, 2 red balls. One bag is
selected at random and a ball is drawn from it. The probability of drawing the ball from
the bag ?? , if the ball drawn in white, is :
(1)
1
4
(2)
1
9
(3)
1
3
(4)
3
10
Q9 - 2024 (31 Jan Shift 1)
Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue
and 15 orange marbles, with replacement being made after each drawing. Then the
probability, that first drawn marble is red and second drawn marble is white, is
(1)
2
25
(2)
4
25
(3)
2
3
(4)
4
75
Q10 - 2024 (31 Jan Shift 1)
Three rotten apples are accidently mixed with fifteen good apples. Assuming the random
variable ?? to be the number of rotten apples in a draw of two apples, the variance of ?? is
(1)
37
153
(2)
57
153
(3)
47
153
(4)
40
153
Q11 - 2024 (31 Jan Shift 2)
A coin is based so that a head is twice as likely to occur as a tail. If the coin is tossed 3
times, then the probability of getting two tails and one head is-
(1)
2
9
(2)
1
9
(3)
2
27
(4)
1
27
Answer Key
Solutions
Q1
P(4 W4 B/2 W2 B) =
?? (4?? 4?? ) × ?? (2?? 2?? /4?? 4?? )
?? (2?? 6?? ) × ?? (2?? 2?? /2?? 6?? ) + ?? (3?? 5?? ) × ?? (2?? 2?? /3?? 5?? )
¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯ ¯
+ ? … … + ?? (6?? 2?? ) × ?? (2?? 2?? /6?? 2?? )
=
1
5
×
4
C
2
×
4
C
2
8
C
4
1
5
×
2
C
2
×
6
C
2
8
C
4
+
1
5
×
3
C
2
×
5
C
2
8
C
4
+ ? +
1
5
×
6
C
2
×
2
C
2
8
C
4
=
2
7
Q2
P(A
¯
) =
2
7
= p
P(A n V) =
1
5
= q
P(A) =
5
7
Ans. ?? (?? n ?? ?
) =
18
35
Q3
a = P(X = 3) =
5
6
×
5
6
×
1
6
=
25
216
b = P(X = 3) =
5
6
×
5
6
×
1
6
+ (
5
6
)
3
·
1
6
+ (
5
6
)
4
·
1
6
+ ? …
=
25
216
1 -
5
6
=
25
216
×
6
1
=
25
36
?? (?? = 6) = (
5
6
)
5
·
1
6
+ (
5
6
)
6
·
1
6
+ ? ….
=
(
5
6
)
5
·
1
6
1 -
5
6
= (
5
6
)
5
Read More
|
209 videos|443 docs|143 tests
|
FAQs on Probability: JEE Mains Previous Year Questions (2021-2024) - Mathematics (Maths) for JEE Main & Advanced
| 1. What is the basic concept of probability in JEE Mains? |  |
Ans. Probability in JEE Mains deals with the likelihood of an event occurring, which is expressed as a number between 0 and 1. It is used to analyze random experiments and predict the likelihood of various outcomes.
| 2. How is probability calculated in JEE Mains? | |
Ans. In JEE Mains, probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This ratio gives the probability of an event occurring.
| 3. What are the different types of probability questions asked in JEE Mains? | |
Ans. JEE Mains may include questions on classical probability, conditional probability, independent events, Bayes' theorem, and permutations and combinations. Students are required to apply these concepts to solve probability problems.
| 4. How can I improve my probability-solving skills for JEE Mains? | |
Ans. To improve probability-solving skills for JEE Mains, practice solving a variety of probability problems from previous year papers and mock tests. Understanding the concepts thoroughly and practicing regularly can enhance your problem-solving abilities.
| 5. Are there any specific strategies to tackle probability questions in JEE Mains? | |
Ans. One strategy to tackle probability questions in JEE Mains is to break down the problem into smaller parts and apply the relevant probability concepts to each part. Additionally, drawing diagrams or using visual aids can help in understanding the problem better and arriving at the correct solution.
Related Exams
About this Document
|
Oct 23, 2024 Last updated |
Document Description: Probability: JEE Mains Previous Year Questions (2021-2024) for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation.
The notes and questions for Probability: JEE Mains Previous Year Questions (2021-2024) have been prepared according to the JEE exam syllabus. Information about Probability: JEE Mains Previous Year Questions (2021-2024) covers topics
like and Probability: JEE Mains Previous Year Questions (2021-2024) Example, for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Probability: JEE Mains Previous Year Questions (2021-2024).
Introduction of Probability: JEE Mains Previous Year Questions (2021-2024) in English is available as part of our Mathematics (Maths) for JEE Main & Advanced
for JEE & Probability: JEE Mains Previous Year Questions (2021-2024) in Hindi for Mathematics (Maths) for JEE Main & Advanced course.
Download more important topics related with notes, lectures and mock test series for JEE
Exam by signing up for free. JEE: Probability: JEE Mains Previous Year Questions (2021-2024) | Mathematics (Maths) for JEE Main & Advanced
Description
Full syllabus notes, lecture & questions for Probability: JEE Mains Previous Year Questions (2021-2024) | Mathematics (Maths) for JEE Main & Advanced - JEE | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) for JEE Main & Advanced | Best notes, free PDF download
Information about Probability: JEE Mains Previous Year Questions (2021-2024)
In this doc you can find the meaning of Probability: JEE Mains Previous Year Questions (2021-2024) defined & explained in the simplest way possible. Besides explaining types of
Probability: JEE Mains Previous Year Questions (2021-2024) theory, EduRev gives you an ample number of questions to practice Probability: JEE Mains Previous Year Questions (2021-2024) tests, examples and also practice JEE
tests
|
209 videos|443 docs|143 tests
|
Download as PDF
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Probability: JEE Mains Previous Year Questions (2021-2024) | Mathematics (Maths) for JEE Main & Advanced
,Important questions
,Previous Year Questions with Solutions
,Objective type Questions
,Probability: JEE Mains Previous Year Questions (2021-2024) | Mathematics (Maths) for JEE Main & Advanced
,study material
,Semester Notes
,Free
,Summary
,video lectures
,Exam
,Probability: JEE Mains Previous Year Questions (2021-2024) | Mathematics (Maths) for JEE Main & Advanced
,mock tests for examination
,MCQs
,practice quizzes
,Extra Questions
,ppt
,shortcuts and tricks
,Viva Questions
,past year papers
,Sample Paper
;
Additional Information about Probability: JEE Mains Previous Year Questions (2021-2024) for JEE Preparation
Probability: JEE Mains Previous Year Questions (2021-2024) Free PDF Download
The Probability: JEE Mains Previous Year Questions (2021-2024) is an invaluable resource that delves deep into the core of the JEE exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Probability: JEE Mains Previous Year Questions (2021-2024) now and kickstart your journey towards success in the JEE exam.
Importance of Probability: JEE Mains Previous Year Questions (2021-2024)
The importance of Probability: JEE Mains Previous Year Questions (2021-2024) cannot be overstated, especially for JEE aspirants.
This document holds the key to success in the JEE exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Probability: JEE Mains Previous Year Questions (2021-2024) Notes
Probability: JEE Mains Previous Year Questions (2021-2024) Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Probability: JEE Mains Previous Year Questions (2021-2024).
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Probability: JEE Mains Previous Year Questions (2021-2024) Notes on EduRev are your ultimate resource for success.
Probability: JEE Mains Previous Year Questions (2021-2024) JEE
The "Probability: JEE Mains Previous Year Questions (2021-2024) JEE Questions" guide is a valuable resource for all aspiring students preparing for the
JEE exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Probability: JEE Mains Previous Year Questions (2021-2024) on the App
Students of JEE can study Probability: JEE Mains Previous Year Questions (2021-2024) alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Probability: JEE Mains Previous Year Questions (2021-2024),
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Probability: JEE Mains Previous Year Questions (2021-2024) is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup