JEE Mathematics Probability MCQs Set 03

Mathematics Objective Questions and Answers: Probability

Explore reliable objective questions for Probability tailored for JEE learners. Utilizing these Mathematics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.

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View or download the dedicated Probability MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Mathematics evaluations.

LEVEL-I
 
1. From a group of 10 persons consisting of 5 lawyers, 3 doctors and 2 engineers, four persons are selected at random. The probability that the selection contains at least one of each
category is
(A) 1/2 (B) 2/3
(C) 2/3 (D) none of these
 
2. If one ball is drawn at random from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls then the probability that 2 white and 1 black balls will be drawn is
(A) 13/32 (B) 1/4
(C) 1/32 (D) 3/16
 
3. The probability of occurrence of a multiple of 2 on a dice and a multiple of 3 on the other dice of both are thrown together is
(A) 7/26 (B) 1/32
(C) 11/36 (D) 1/4
 
4. A fair coin is tossed repeatedly. If the tail appears on first four tosses, then the probability of the head appearing on the fifth toss equals
(A) 31/32 (B) 1/32
(C) 1/2 (D) 1/5
 
5. Let A and B be two independent events such that their probabilities are 3/10 and 2/5. The probability of exactly one of the events happening is
(A) 23/50 (B) 1/2
(C) 31/50 (D) none of these
 
6. A second-order determinant is written down using the numbers 1, –1 as elements. Then the probability for which determinant is non-zero is
(A) 3/8 (B) 5/8
(C) 1/8 (D) 1/2
 
7. There are 7 seats in a row. Three persons take seats at random. The probability that the middle seat is always occupieace and no two persons are consecutive is
(A) 9/70 (B) 9/35
(C) 4/35 (D) none of these
 
JEE Mathematics Probability MCQs Set C
 
10. A fair die is thrown until a score of less than 5 points is obtained. The probability of obtaining not less than 2 points on the last thrown is
(A) 3/4 (B) 5/6 (C) 4/5 (D) 1/3
 
11. Let 'E' and 'F' be two independent events. The probability that both 'E’ and 'F’ happen is 1/12 and the probability that neither 'E' nor 'F' happens is 1/2, then ,
(A) P(E) = 1/3, P(F) = 1/4 (B) P(E) = 1/2, P(F) = 1/6
(C) P(E) = 1/6, P(F) = 1/2 (D) P(E) = 1/4, P(F) = 1/3
 
JEE Mathematics Probability MCQs Set C-
JEE Mathematics Probability MCQs Set C-1
JEE Mathematics Probability MCQs Set C-2
 
 
 
 
ANSWERS
 
LEVEL −I
 
1. A
2. A
3. C
4. C
5. A
7. D
8. A
9. C
10. A
11. A
12. B
13. B
14. A
15. B
16. C
17. D
18. B
19. A
20. D
24. B
 
 
 
 
LEVEL-II
 
 
1. All the spades are taken out from a pack of cards. From these cards, cards are drawn one by one with out replacement till the ace of spades comes. The probability that the ace comes in the 4th draw is
(A) 1/13 (B) 12/13
(C) 4/13 (D) none of these
 
JEE Mathematics Probability MCQs Set C-3
 
3. A number of six digits is written down at random. Probability that sum of digits of the number is even is
(A)1/2 (B) 3/8 (C) 3/7 (D) none of these
 
4. Fifteen coupons are numbered 1, 2, 3, - - - 15. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on the selected coupon is 9, is
JEE Mathematics Probability MCQs Set C-4
JEE Mathematics Probability MCQs Set C-5
JEE Mathematics Probability MCQs Set C-6
 
 
ANSWERS
 
LEVEL −II
 
1. A
2. C
3. A
4. D
5. B
6. D
7. C
8. C
9. C
10. C
11. C
12. B
13. B
14. C
15. C
16. C
17. C
18. B
 
 
JEE Mathematics Probability MCQs Set C-7
 
 
ANSWERS
 
LEVEL −III
 
1. C
2. C
3. B
4. A

Free study material for Probability

Probability Objective Questions & Solutions for JEE Mathematics

JEE Mathematics Probability Objective Test Questions

Review structured objective questions for JEE Mathematics Probability. Built according to official JEE guidelines, these MCQ sets support daily revision and core concept reinforcement.

NCERT-Aligned Objective Questions and Solutions

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FAQs

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Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics JEE material?

Yes, our JEE Mathematics Probability MCQs Set 03 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the JEE paper is now competency-based.

How do practicing Mathematics MCQs help in scoring full marks in JEE exams?

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