CBSE Class 11 Mathematics Probability Assignment Set 01

Class 11 Mathematics Practice Assignments: CBSE Class 11 Mathematics Probability Assignment Set 01

Review targeted academic assignments with the CBSE Class 11 Mathematics Probability Assignment Set 01. Built according to official CBSE standards for the 2026-27 term, these downloadable Class 11 Mathematics worksheets support effective daily practice for Chapter 14 Probability.

Download Chapter 14 Probability Assignment PDF with Solutions

Access the complete assignment PDF for Class 11 Mathematics below. Regular practice with these targeted academic tasks builds familiarity with standard question patterns and helps secure higher marks in final school evaluations.

Probability MCQ Questions with Answers Class 11 Mathematics

 

Q.- A binary number is made up of 8 bits. The probability of an incorrect bit appearing is p and the errors in different bits are independent of one another. The probability of forming an incorrect number is
(a) P/8
(b) p8
(c) 1 – (1 – p)8
(d) (1 – p)8
Ans-(c)
 
Q.- Two numbers are chosen from {1, 2, 3, 4, 5, 6} one after the other without replacement. The probability that the smaller value of two is less than 4 is
(a) 4/5
(b) 1/15
(c) 1/5
(d) 14/15
Ans- (a)
 
Q.- Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral equals
(a) 1/2
(b) 1/5
(c) 1/10
(d) 1/20
Ans-(c) 
 
Q.- A determinant is chosen at random from the set of all determinants of order 2 with elements 0 or 1 only. The probability that value of the determinant chosen is positive is
(a) 16/81
(b)7/16
(c) 3/16
(d) none of these
Ans-(c) 
 
Q.- Four tickets marked 00, 01, 10 and 11 respectively are placed in bag. A ticket is drawn at random five times,being replaced each time. The probability that the sum of the numbers on the ticket is 15, is
(a) 3/1024
(b) 5/1024
(c) 7/1024
(d) none of these
Ans-(b) 
 
Q.- If the letters of the word ATTEMPT are written down at random, the chance that all Ts are consecutive is
(a) 1/42
(b)6/7
(c)1/7
(d) none of these
Ans-(c) 
 
Q.-  A coin is tossed again and again until a head appears or it has been tossed 3 times. Given that head does not appear on the first toss, the probability that the coin is tossed three times is
(a) 1/8
(b) 1/4
(c) 1/2
(d) none of these
Ans-(c) 
 
Q.- A coin is tossed again and again until a head appears or it has been tossed 3 times. Given that head does not appear on the first toss, the probability that the coin is tossed three times is
(a) 1/8
(b)1/4
(c)1/2
(d) none of these
Ans-(c) 
 
Q.- In reference to Q. 22 above, the probability that exactly two of the three balls are red, the first ball being red, is
(a) 1/3
(b) 4/7
(c) 15/28
(d) 5/28
Ans-(b)
 
Q.- Assume that in a family, each child is equally likely to be a boy or a girl. A family with three children is chosen at random. The probability that the eldest child is a girl given that the family has atleast one girl is
(a)1/2
(b)1/3
(c)2/3
(d)4/7
Ans-(d) 
 
Q.- If A and B are independent events such that 0 < P (A) < 1 and 0 < P (B) < 1, then which of the following is not correct ?
(a) A and B are mutually exclusive
(b) A and B’ are independent
(c) A’ and B are independent
(d) A’ and B’ are independent
Ans-(a) 
 
Q.- Three persons A, B and C fire at a target in turn, starting with A. Their probabilities of hitting the target are 0.4,0.3 and 0.2 respectively. The probability of two hits is
(a) 0.024
(b) 0.188
(c) 0.336
(d) 0.452
Ans-(b)
 
Q.-  Ram and Shyam throw with one dice for a prize of Rs 88 which is to be won by the player who throws 1 first. If Ram starts, then mathematical expectation for Shyam is
(a) Rs 32
(b) Rs 40
(c) Rs 48
(d) none of these
Ans-(b)
 
Q.- One bag contains 5 white and 4 black balls. Another bag contains 7 white and 9 black balls. A ball is transferred from the first bag to the second and then a ball is drawn from second. The probability that the ball is white, is
(a) 8/17
(b) 40/153
(c) 5/9
(d) 4/9
Ans-(d)
 
Q.- Three groups A, B, C are competing for positions on the Board of Directors of a company. The probabilities of their winning are 0.5, 0.3, 0.2 respectively. If the group A wins, the probability of introducing a new product is 0.7 and the corresponding probabilities for group B and C are 0.6 and 0.5 respectively. The probability that the new product will be introduced, is
(a) 0.18
(b) 0.35
(c) 0.10
(d) 0.63
Ans-(d)
 
Q.- A survey of people in a given region showed that 20% were smokers. The probability of death due to lung cancer, given that a person smoked, was 10 times the probability of death due to lung cancer, given that a person did not smoke. If the probability of death due to lung cancer in the region is 0.006, what is the probability of death due to lung cancer given that a person is a smoker
(a) 1/140
(b) 1/70
(c) 3/140
(d) 1/10
Ans-(c)

 

More Question

 

1. If a leap year is selected at random ,what is the chance that it will contain 53 Tuesdays?

2. If 12 persons are seated at round table ,what is the probability that two particular persons sit together?

3. from a group of 7 men and 4 ladies a committee of 6 persons is formed. What is the probability that the committee will consists of exactly 2 ladies?

4. A box contains 3 white , 4 red and 5 blue balls. If three balls are drawn at random, find the probability that

(i) all of them are white (ii) exactly one is white (iii) each ball is of different colour.

5. What is the probability of getting a total of less than 12 in throw of two dice?

6. Three dice are thrown together. Find the probability of getting a total of at least 6.

7. In a lottery of 50 tickets numbered 1 to 50, two tickets are drawn simultaneously. Find the probability that:

(i) both the tickets drawn have prime number,

(ii) none of the tickets drawn has prime number

(iii) one tickets has prime number.

8. A word is consists of 9 letters; 5 consonants and 4 vowels. Three letters are chosen at random. What is the probability that more than one vowel will be selected ?

9. Four persons are to be chosen at random from a group of 3 men, 2 women and 4 children . Find the probability of selecting :

(i) 1 man,1 woman and 2 children (ii) exactly two children

10. Twelve balls are distributed among three boxes, find the probability that the first box will contain three balls.

11. In a single throw of three dice, determine the probability of getting

(i) a total of 5 (ii) a total of at most 5 (iii) a total of at least 5.

12. In a lot of 12 microwave ovens, there are 3 defective units. A person has ordered 4 of these units and since each is identically packed, the selection will be random. what is the probability that

(i) all 4units are good (ii) exactly 3 units are good (iii) at least 2 units are good.

13. A five digit number is formed by 1,2,3,4,5 without repetition. find the probability that the number is divisible by 4.

14. The letters of the word 'FORTUNATES' are arranged at random in a row.What is the chance that the two ' T ' come together.

15. A class consists of 10 boys and 8 girls. Three students are selected at random. What is the probability that the selected group has

(i) 1 boy and two girls?

(ii) At least one girl?

(iii)At most one girl?

CBSE Class 11 Mathematics Probability Assignment Set A

Please click the below link to access CBSE Class 11 Mathematics Probability Assignment Set A

 

Free study material for Mathematics

Chapter 14 Probability Printable Assignments & Solutions for Class 11 Mathematics

Class 11 Mathematics Chapter 14 Probability Printable Assignments

Review targeted chapter assignments for Class 11 Mathematics Chapter 14 Probability. Built according to official CBSE guidelines, these downloadable problem sets help students build accuracy and prepare effectively for school tests.

Maximize Exam Scores with Chapter Practice Sets

  • Curriculum Standards: Assignments match modern CBSE sample formats to ensure relevant preparation.
  • Thorough Revision: Detailed problem sets reinforce core concepts and eliminate conceptual weak spots.
  • Execution Speed: Timed practice with assignment sets sharpens overall response timing.

Effective Strategy for Class 11 Mathematics Assignments

  1. Initial Reading: Begin by reading the NCERT book for Class 11 Mathematics to build a baseline understanding.
  2. Independent Testing: Attempt assignment questions unassisted, then verify work using provided answer keys.
  3. Supplementary Aids: Leverage revision notes and worksheets whenever you encounter difficult topics.

FAQs

Where can I download the latest CBSE Class 11 Mathematics Chapter 14 Probability assignments?

You can download free PDF assignments for Class 11 Mathematics Chapter 14 Probability from StudiesToday.com. These practice sheets have been updated for the 2026-27 session covering all concepts from latest NCERT textbook.

Do these Mathematics Chapter 14 Probability assignments include solved questions?

Yes, our teachers have given solutions for all questions in the Class 11 Mathematics Chapter 14 Probability assignments. This will help you to understand step-by-step methodology to get full marks in school tests and exams.

Are the assignments for Class 11 Mathematics Chapter 14 Probability based on the 2026 exam pattern?

Yes. These assignments are designed as per the latest CBSE syllabus for 2026. We have included huge variety of question formats such as MCQs, Case-study based questions and important diagram-based problems found in Chapter 14 Probability.

How can practicing Chapter 14 Probability assignments help in Mathematics preparation?

Practicing topicw wise assignments will help Class 11 students understand every sub-topic of Chapter 14 Probability. Daily practice will improve speed, accuracy and answering competency-based questions.

Can I download Mathematics Chapter 14 Probability assignments for free on mobile?

Yes, all printable assignments for Class 11 Mathematics Chapter 14 Probability are available for free download in mobile-friendly PDF format.