CBSE Class 12 Mathematics Probability Worksheet Set B

Access the latest CBSE Class 12 Mathematics Probability Worksheet Set B. We have provided free printable Class 12 Mathematics worksheets in PDF format, specifically designed for Chapter 13 Probability. These practice sets are prepared by expert teachers following the 2025-26 syllabus and exam patterns issued by CBSE, NCERT, and KVS.

Chapter 13 Probability Mathematics Practice Worksheet for Class 12

Students should use these Class 12 Mathematics chapter-wise worksheets for daily practice to improve their conceptual understanding. This detailed test papers include important questions and solutions for Chapter 13 Probability, to help you prepare for school tests and final examination. Regular practice of these Class 12 Mathematics questions will help improve your problem-solving speed and exam accuracy for the 2026 session.

Download Class 12 Mathematics Chapter 13 Probability Worksheet PDF

 

PROBABILITY
 
1) A Company has two plants to manufacture scooters. Plant 1 manufactures 70% of the scooters and plant II manufactures 30%. At Plant I 80% of the scooters are rated of standard quality and at plant II 90% of scooters are rated of standard quality .A Scooter is chosen at random and is found to be of standard quality . Find the probability that it has come from plant II.
 
2) In answering a question on a multiple choice test, a student neither knows the answer or guesses.Let ¾ be the probability that he knows the answer and ¼ be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability1/4. What is the probability that the student knows the answer given that he answered it correctly.
 
3) In an examination , an examinee either guesses or copies or knows the answer of multiple choice question with 4 choice. The probability that he makes a guess is 1/3 and the probability he copies is 1/6.Find the probability that his answer is correct, given that he copied it is 1/8. Find the probability that he knew to the the answer to the question, given that he correctly answered it.
 
4) An insurance company insured 2000 scoter drivers,4000 car drivers and 6000 truck drivers, The probability of an accidents are 0.01,0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is probability that he is scooter driver.
 
5) Find the mean number of heads in three toss of a fair coin. Also find the variance and the standard deviation.
 
6) Two Cards are drawn Simultaneously (or successively without replacement) from a well shuffled deck of 52 cards. Find the means variance and standard deviation of the number of kings.
 
7) Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs.Find the probability that there is at least one defective egg.
 
8) Three Bags contain balls as shown in the table below

CBSE Class 12 Mathematics Probability Worksheet Set B 1

 
A bag is chosen at random and two balls are drawn from it .They Happen to be white and red. What is probability that they came from the III bag.
 
9) In a class, having 60% boys, 5% of boys and 10% of girls have an IQ of more than 150. A student is selected at random and found to have an IQ of more than 150. Find the probability that the selected student is a boy.
 
10) In a group of 50 scouts in a camp, 30 are well trained in first aid, remaining are well trained in hospitality and not first aid. 2 scouts are selected at random.Find the probability distribution of
the no. of selected scouts who are well trained in first aid.Find the mean of the distribution.Write
one more value which is expected from a scout.
 
11) The probability of a shooter hitting a target is ¾ . How many minimum number of times must he/she fire so that the probability of hitting the target at least once is more than 0.99?
 
12) A Factory as three machines X,Y and Z producing 1000,2000 and 3000 bolts per day respectively. The machine X produce 1% defective bolts, Y produces 15% defective bolts and Z produce 2% defective bolts. At the end of the day , a bolt is drawn at random and is found defective . What is the probability that this defective bolt has been produced by the machine Z.
 
13) It is known that 10% of certain articles manufactured are defective. What is the probability that in random sample of 12 such articles , 9 are defective?
 
14) A person wants to construct a hospital in a village for welfare. The probabilities are 0.40 that some bad elements oppose this work,0.80 that the hospital will be completed if there is no any oppose of any bad elements and 0.30 that the hospital will be completed if bad elements oppose.Determine the probability that the construction of hospital will be completed.
 
15) From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs is drawn at random with replacement. Find the probability distribution of the number of defective bulbs.
 
16) An urn contains 25 balls of which 10 balls bear a mark ‘X’ and the remaining 15 bear a mark ‘Y’.A ball is drawn at random from the urn,its mark noted down and it is replaced.If 6 balls are drawn in this way, find the probability that
a) All will bear ‘X’ mark
b) Not more than 2 will bear ‘Y’ mark.

 

Please click on below link to download CBSE Class 12 Mathematics Probability Worksheet Set B

Chapter 13 Probability CBSE Class 12 Mathematics Worksheet

Students can use the Chapter 13 Probability practice sheet provided above to prepare for their upcoming school tests. This solved questions and answers follow the latest CBSE syllabus for Class 12 Mathematics. You can easily download the PDF format and solve these questions every day to improve your marks. Our expert teachers have made these from the most important topics that are always asked in your exams to help you get more marks in exams.

NCERT Based Questions and Solutions for Chapter 13 Probability

Our expert team has used the official NCERT book for Class 12 Mathematics to create this practice material for students. After solving the questions our teachers have also suggested to study the NCERT solutions  which will help you to understand the best way to solve problems in Mathematics. You can get all this study material for free on studiestoday.com.

Extra Practice for Mathematics

To get the best results in Class 12, students should try the Mathematics MCQ Test for this chapter. We have also provided printable assignments for Class 12 Mathematics on our website. Regular practice will help you feel more confident and get higher marks in CBSE examinations.

Where can I download latest CBSE Practice worksheets for Class 12 Mathematics Chapter 13 Probability

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Yes, the Practice worksheets issued for Chapter 13 Probability Class 12 Mathematics have been made available here for the latest academic session

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Yes, studiestoday.com provides all the latest Class 12 Mathematics Chapter 13 Probability test practice sheets with answers based on the latest books for the current academic session