Maths Class 12 Probability MCQs: The Central Board of Secondary Education holds the annual year-end board exams for class 12, which are considered the most important exams for students and are important to pass to graduate school. The question paper is made per a fixed format every year and consists of questions of various types like multiple choice, short-answer and long-answer.
Every question requires a different approach to solving depending on its difficulty level and marks. Multiple choice questions are usually a key part of all papers, but unlike other subjects, they aren’t as direct in mathematics. MCQs demand fast calculation skills and problem-solving to be solved. So it becomes essential to practice several MCQs before giving the exam. You can check out the MCQs for CBSE Class 12 Maths Chapter 13 Probability below.
Related: CBSE Class 12 Maths Chapter 11 Three Dimensional Geometry MCQs with Solutions: Download PDF
Key Highlights
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MCQs for CBSE Class 12 Maths Chapter 13 Probability with Solutions
1: Find P(E|F), where E: no tail appears, F: no head appears when two coins are tossed in the air.
(a) 0
(b) ½
(c) 1
(d) None of the above
2: The mean and the variance of a binomial distribution are 4 and 2 respectively. Then the probability of 2 success is
(a) 28/256
(b) 219/256
(c) 128/256
(d) 37/256
Related: CBSE Class 12 Maths Syllabus 2025-26: 12th Maths Syllabus Download PDF
3: If P(a) = 0,4, P(b) = 0.8 and P(B|A) = 0.6 then P(A∪B) is equal to
(a) 0.24
(b) 0.3
(c) 0.48
(d) 0.96
4: The probability of solving the specific problems independently by A and B are 1/2 and 1/3 respectively. If both try to solve the problem independently, find the probability that exactly one of them
(a) 1
(b) 1/2
(c) 1/3
(d) 1/4
Also Check: NCERT Solutions for Class 12 Maths PDF: Updated for 2025-26
5: If A and B are two independent events, then the probability of occurrence of at least one of A and B is given by:
(a) 1+ P(A′) P (B′)
(b) 1− P(A′) P (B′)
(c) 1− P(A′) + P (B′)
(d) 1− P(A′) – P (B′)
6: An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?
(a) 3/7
(b) 7/3
(c) 1/7
(d) ⅓
7: If P(A ∩ B) = 70% and P(B) = 85%, then P(A/B) is equal to:
(a) 17/14
(b) 14/17
(c) ⅞
(d) ⅛
Related: CBSE Class 12 Maths Sample Paper 2025-26 with Solutions PDF - Download Model Paper
8: The probability of a student getting 1, 2, 3 division in an examination are 1/10, 3/5 and 1/4 respectively. The probability that the student fails in the examination is
(a) 27/100
(b) 83/100
(c) none of these
(d) 197/200
9: A person writes 4 letters and addresses 4 envelopes. If the letters are placed in the envelopes at random, then the probability that all letters are not placed in the right envelopes, is
(a) 23/24
(b) 15/24
(c) 11/24
(d) 1/4
10: If E and F are independent events, then;
(a) P(E ∩ F) = P(E)/ P(F)
(b) P(E ∩ F) = P(E) + P(F)
(c) P(E ∩ F) = P(E) . P(F)
(d) None of the above
11: A police officer fires three bullets at a thief. The probability that the thief will be killed by one bullet is 0.8. Find the probability of the thief being still alive?
(a) 0.008
(b) 0.0016
(c) 0.64
(d) None of the above
Answers
| Question | Answer |
| 1 | (a) 0 |
| 2 | (a) 28/256 |
| 3 | (d) 0.96 |
| 4 | (b) 1/2 |
| 5 | (b) 1− P(A′) P (B′) |
| 6 | (a) 3/7 |
| 7 | (b) 14/17 |
| 8 | (a) 27/100 |
| 9 | (a) 23/24 |
| 10 | (c) P(E ∩ F) = P(E) . P(F) |
| 11 | (a) 0.008 |
MCQs for CBSE Class 12 Maths Chapter 13 Probability with Solutions: Download PDF
Here you can find a link to download PDF which contains Maths Chapter 13- Probability MCQs for class 12 students. You can download the PDF to save it for later. Use these questions to solve various formulas included in the chapters.
| MCQs for CBSE Class 12 Maths Chapter 13 Probability with Solutions PDF |
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