Find the best tutors and institutes for Class 12 Tuition
Probability Miscellaneous Exercise on Chapter 13 Solutions
- Q1(i): $A$ and $B$ are two events such that $P(A) \neq 0$. Find $P(B|A)$, if (i) $A$ is a subset of $B$
- Q1(ii): $A$ and $B$ are two events such that $P(A) \neq 0$. Find $P(B|A)$, if (ii) $A \cap B = \phi$
- Q2(i): A couple has two children, (i) Find the probability that both children are males, if it is known that at least one of the children is male.
- Q2(ii): A couple has two children, (ii) Find the probability that both children are females, if it is known that the elder child is a female.
- Q3: Suppose that 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.
- Q4: Suppose that 90% of people are right-handed. What is the probability that at most 6 of a random sample of 10 people are right-handed?
- Q5: If a leap year is selected at random, what is the chance that it will contain 53 tuesdays?
- Q6: Suppose we have four boxes A,B,C and D containing coloured marbles as given below: One of the boxes has been selected at random and a single marble is drawn from it. If the marble is red, what is the probability that it was drawn from box A?, box B?, box C?
- Q7: Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga?
- Q8: If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability $\frac{1}{2}$).
- Q9(i): An electronic assembly consists of two subsystems, say, A and B. From previous testing procedures, the following probabilities are assumed to be known: $P(A \text{ fails}) = 0.2$, $P(B \text{ fails alone}) = 0.15$, $P(A \text{ and } B \text{ fail}) = 0.15$. Evaluate the following probabilities (i) $P(A \text{ fails|B has failed})$
- Q9(ii): An electronic assembly consists of two subsystems, say, A and B. From previous testing procedures, the following probabilities are assumed to be known: $P(A \text{ fails}) = 0.2$, $P(B \text{ fails alone}) = 0.15$, $P(A \text{ and } B \text{ fail}) = 0.15$. Evaluate the following probabilities (ii) $P(A \text{ fails alone})$
- Q10: Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be red in colour. Find the probability that the transferred ball is black.
- Q11: If A and B are two events such that $P(A) \neq 0$ and $P(B | A) = 1$, then
- Q12: If $P(A|B) > P(A)$, then which of the following is correct :
- Q13: If A and B are any two events such that $P(A) + P(B) – P(A \text{ and } B) = P(A)$, then
Other Exercises for CBSE - Class 12 Mathematics Probability
Chapters in CBSE - Class 12 Mathematics
Top Tutors who teach Probability
Top Tutor 
Sector 92, Gurgaon 
20 yrs of Exp 
2 students 
1307 hrs of classes completed 
1200 per hour 
Online Classes 
Student's Home 
Tutor's home I am teaching class 12th since last 23 years
My sin started mathematics tuition one month back and he very much improved. You had a Very good experience.
Top Tutor Rajpur Sonarpur, Kolkata 1 yrs of Exp 2 students 152 hrs of classes completed 400 per hour Online Classes I am a teacher of Psychology and other social science subjects. I am giving online video tuition classes at affordable rates. I have a Master's degree in Psychology from Banaras Hindu University and am currently pursuing my PhD. I have also qualified UGC-NET in Psychology.
Top Tutor Kamal Chowk, Nagpur 20 yrs of Exp Tutor's home I have 20 years of experience in the field of teaching. I conduct classes for Spoken English, BBA, MBA, Hindi Language, Career Counselling and Classes I to X. I tutor (offline/online) for syllabi-based subjects Classes I to X for CBSE, ICSE, IGCSE, IB Board. For classes X and above, I focus on tutoring subjects like Hindi, English, Psychology. Accountancy, Business Studies, Mathematics, Physics, Chemistry for CBSE, ICSE, IGCSE and IB Board. I also conduct career counselling and psychological counselling. I also assist students in pursuing MBA/PGDBM courses in their dissertation work. People engaged in doctoral theses in the domains of management and psychology engage my services for their research work. Since there is a lot of demand for enhancing one's conversational English, this is what I am focusing on at the moment. Being bilingual, my medium of communication is English as well as Hindi. I train learners in the usage of WordPress, Joomla - to develop their websites; right from domain registration to site maintenance. Besides, I assist teachers in pursuing Teachers' Training Courses.
Top Tutor Sector 10, Dwarka, Delhi 6 yrs of Exp 5 students 535 hrs of classes completed 480 per hour Online Classes I am (English Educator). I've been teaching for more than 8 years. My background includes planning and teaching English to children as well as adults. I have worked with UNACADEMY, Chandigarh University, Mahendras and many more institutions. I got certified as a Meet & Greet officer, conforming to National Skill Qualifications Framework Level-4. Two times winner in Declamation contest at the college level
Super Tutor Hubli, Hubli 9 yrs of Exp 76 students 2264 hrs of classes completed 500 per hour Online Classes I have been teaching Accountancy, Economics and Business Studies to class 11th and 12th cbse students for past 9 years. Maximum of my students have scored above 90 out of 100. I give my best to clear all the doubts of my students and make sure they master the subject.
She’s an amazing teacher one of the best I’ve had, in 15 days I took a crash course for accounts and I’m expecting 95+.
Other Subjects in CBSE - Class 12
Download free CBSE - Class 12 Mathematics Probability Miscellaneous Exercise on Chapter 13 worksheets
Download Now
