CBSE Class 12 Mathematics Probability Worksheet Set 02

Official Class 12 Mathematics Worksheets: Chapter 13 Probability

Explore reliable practice materials for Chapter 13 Probability tailored for Class 12 learners. Utilizing these Mathematics worksheets ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.

Chapter-wise Practice Material: Chapter 13 Probability

Navigate directly to the printable exercises for Chapter 13 Probability using the digital viewer below. Each practice set allows students to isolate specific topics for thorough review and uninterrupted practice alongside standard textbooks.

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

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Chapter 13 Probability Practice Sheet and Solutions for Class 12 Mathematics

Chapter Practice Questions for Class 12 Mathematics

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Expert Practice Material for Class 12 Mathematics

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FAQs

Where can I download the latest PDF for CBSE Class 12 Mathematics Probability Worksheet Set 02?

You can download the teacher-verified PDF for CBSE Class 12 Mathematics Probability Worksheet Set 02 from StudiesToday.com. These practice sheets for Class 12 Mathematics are designed as per the latest CBSE academic session.

Are these Mathematics Class 12 worksheets based on the 2026-27 competency-based pattern?

Yes, our CBSE Class 12 Mathematics Probability Worksheet Set 02 includes a variety of questions like Case-based studies, Assertion-Reasoning, and MCQs as per the 50% competency-based weightage in the latest curriculum for Class 12.

Do you provide solved answers for CBSE Class 12 Mathematics Probability Worksheet Set 02?

Yes, we have provided detailed solutions for CBSE Class 12 Mathematics Probability Worksheet Set 02 to help Class 12 and follow the official CBSE marking scheme.

How does solving CBSE Class 12 Mathematics Probability Worksheet Set 02 help in exam preparation?

Daily practice with these Mathematics worksheets helps in identifying understanding gaps. It also improves question solving speed and ensures that Class 12 students get more marks in CBSE exams.

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All our Class 12 Mathematics practice test papers and worksheets are available for free download in mobile-friendly PDF format. You can access CBSE Class 12 Mathematics Probability Worksheet Set 02 without any registration.