Class 9 CBSE Mathematics — Chapter 7: The Mathematics of Maybe: Introduction to Probability MCQs with Answers
90 practice questions · 30 Easy · 30 Medium · 30 Hard
Practise the most important Class 9 CBSE Mathematics questions from Chapter 7, "The Mathematics of Maybe: Introduction to Probability" — 9 separately timed quizzes built from 90 NCERT-aligned multiple-choice questions, with answers and explanations. The set is split into 30 Easy, 30 Medium and 30 Hard, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"The Mathematics of Maybe: Introduction to Probability" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+4 correct, −1 wrong, 0 skipped), training the accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on The Mathematics of Maybe: Introduction to Probability, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 9 Mathematics mastery score. 14 sample questions are solved in full below — answer and worked explanation — and signing in free opens all 90.
Key concepts: The Mathematics of Maybe: Introduction to Probability (Class 9 Mathematics)
Probability puts a number between 0 and 1 on how likely an event is. This chapter distinguishes empirical probability, measured from trials actually performed, from theoretical probability, calculated from equally likely outcomes, and uses sample spaces and tree diagrams to count outcomes for compound experiments.
- Random experiment
- An action whose individual result cannot be predicted in advance, though all the possible results are known — tossing a coin or rolling a die.
- Outcome and event
- An outcome is a single possible result; an event is a collection of outcomes we are interested in, such as 'an even number' when rolling a die.
- Sample space
- The set of every possible outcome of an experiment. Listing it correctly is the essential first step, since it supplies the denominator.
- Empirical (experimental) probability
- Found by actually performing trials: the number of times the event happened divided by the total number of trials. It changes from one set of trials to another.
Class 9 Mathematics The Mathematics of Maybe: Introduction to Probability MCQs with answers
14 solved questions across the difficulty levels this chapter is graded on — answer and explanation shown for each. The remaining 76 are timed and scored when you sign in.
- Q1Easy
A fair coin is tossed once. What is the probability of getting a head?
A.0B.1C.1/4D.1/2✓ CorrectAnswer: D. 1/2
Explanation: Probability = favourable ÷ total outcomes. A coin has 2 equally likely outcomes and 1 is heads, so P(head) = 1/2 — not 1, since heads isn't guaranteed on a single toss.
- Q2Easy
A fair die is rolled once. What is the probability of getting a 3?
A.1/2B.1/6✓ CorrectC.1/3D.3/6Answer: B. 1/6
Explanation: Probability = favourable ÷ total outcomes. A die has 6 faces and only one shows 3, so P(3) = 1/6. The mistake is dividing by the number 3 itself instead of the 6 possible faces.
- Q3Easy
What is the probability of a certain (sure) event?
A.0B.1/2C.1✓ CorrectD.Greater than 1Answer: C. 1
Explanation: A certain event is guaranteed to happen every time, so its probability sits at the maximum value, 1 — never a fraction like 1/2, which would mean it sometimes fails to occur.
- Q4Easy
What is the probability of an impossible event?
A.0✓ CorrectB.1C.1/2D.−1Answer: A. 0
Explanation: An impossible event can never happen, so its probability is the minimum value, 0 — there are zero favourable outcomes to count, unlike a rare event which still has some chance.
- Q5Easy
The probability of any event always lies between:
A.1 and 2B.−1 and 1C.0 and 100D.0 and 1✓ CorrectAnswer: D. 0 and 1
Explanation: Probability always lies between 0 (impossible) and 1 (certain), inclusive — never negative and never above 1, unlike a percentage scale which can run from 0 to 100.
- Q6Easy
A die is rolled. What is the probability of getting an even number?
A.1/3B.1/2✓ CorrectC.1/6D.2/3Answer: B. 1/2
Explanation: Probability = favourable ÷ total outcomes. Even numbers on a die are 2, 4, 6 — 3 of 6 faces — so P(even) = 3/6 = 1/2. Counting only one even number would undercount the favourable outcomes.
- Q7Medium
A coin was tossed 100 times and a head appeared 45 times. What is the empirical probability of getting a head?
A.9/20✓ CorrectB.11/20C.1/2D.45Answer: A. 9/20
Explanation: Empirical probability = favourable trials ÷ total trials actually performed, not a theoretical count. Here 45 heads out of 100 tosses gives 45/100 = 9/20, distinct from the theoretical 1/2.
- Q8Medium
A die was thrown 60 times and a six appeared 8 times. What is the empirical probability of getting a six?
A.1/6B.1/8C.8/52D.2/15✓ CorrectAnswer: D. 2/15
Explanation: Empirical probability = (times the outcome occurred) ÷ (total trials). A six appeared in 8 of 60 throws, so P = 8/60 = 2/15 — divide both numbers by their common factor 4, not just guess.
- Q9Medium
A card is drawn from 52 cards. What is the probability that it is a face card (king, queen or jack)?
A.1/4B.1/13C.3/13✓ CorrectD.4/13Answer: C. 3/13
Explanation: Probability = favourable ÷ total. Each suit has 3 face cards (king, queen, jack), giving 3 × 4 = 12 face cards out of 52: P = 12/52 = 3/13. Counting only 3 cards ignores the other suits.
- Q10Medium
Two coins are tossed together. What is the probability of getting at least one head?
A.1/4B.1C.1/2D.3/4✓ CorrectAnswer: D. 3/4
Explanation: The complement is easier here: P(at least one head) = 1 − P(no head) = 1 − P(TT) = 1 − 1/4 = 3/4, since only 1 of the 4 outcomes {HH, HT, TH, TT} has zero heads.
- Q11Medium
Two coins are tossed together. What is the probability of getting two heads?
A.1/4✓ CorrectB.1/2C.3/4D.1/3Answer: A. 1/4
Explanation: Probability = favourable ÷ total outcomes. Of the 4 equally likely outcomes {HH, HT, TH, TT}, only HH has two heads, so P(two heads) = 1/4 — smaller than the 'at least one head' probability of 3/4.
- Q12Hard
Two dice are thrown. What is the probability that the sum is 8?
A.1/9B.1/6C.5/36✓ CorrectD.1/12Answer: C. 5/36
Explanation: Out of 36 equally likely pairs from two dice, sum 8 comes from (2,6)(3,5)(4,4)(5,3)(6,2) — 5 pairs — so P = 5/36. (4,4) counts once, since both dice show the same number.
- Q13Hard
Two dice are thrown. What is the probability of getting a doublet (both dice show the same number)?
A.1/6✓ CorrectB.1/12C.1/3D.5/36Answer: A. 1/6
Explanation: A doublet means both dice show the same number: (1,1) through (6,6) gives 6 such pairs out of 36 total, so P = 6/36 = 1/6.
- Q14Hard
Two dice are thrown. What is the probability that the sum is 12?
A.1/6B.1/18C.1/36✓ CorrectD.1/12Answer: C. 1/36
Explanation: Out of 36 equally likely pairs, only (6,6) gives a sum of 12 — the maximum possible — so P = 1/36, the smallest probability among all possible sums.
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Start this chapter free →The Mathematics of Maybe: Introduction to Probability — FAQs
What are the key concepts in Class 9 Mathematics The Mathematics of Maybe: Introduction to Probability?+
Probability puts a number between 0 and 1 on how likely an event is. This chapter distinguishes empirical probability, measured from trials actually performed, from theoretical probability, calculated from equally likely outcomes, and uses sample spaces and tree diagrams to count outcomes for compound experiments. Key ideas include Random experiment, Outcome and event, Sample space, Empirical (experimental) probability.
What does Class 9 Mathematics Chapter 7 (The Mathematics of Maybe: Introduction to Probability) cover on XamBaaz?+
It covers 90 NCERT-aligned MCQs on "The Mathematics of Maybe: Introduction to Probability" — 30 Easy, 30 Medium and 30 Hard — making 9 separately timed quizzes you can sit without ever repeating the same set, each with an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "The Mathematics of Maybe: Introduction to Probability" questions free to practise?+
Yes — sign in with Google to practise "The Mathematics of Maybe: Introduction to Probability" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "The Mathematics of Maybe: Introduction to Probability" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. There are 9 separately timed quizzes on this chapter, so you can come back and get a fresh set rather than re-sitting one you have seen. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Are these "The Mathematics of Maybe: Introduction to Probability" MCQs available with answers?+
Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to practise all 90 questions with instant scoring.
Is there negative marking in the "The Mathematics of Maybe: Introduction to Probability" quizzes?+
Yes — the timed quizzes use exam-grade marking: +4 for a correct answer, −1 for a wrong one and 0 for a skipped question. Note that MHT-CET and the CBSE board papers themselves carry no negative marking — our mocks for those are scored their way, not this way.
Are these important questions for The Mathematics of Maybe: Introduction to Probability?+
The set is curated to the NCERT syllabus and weighted toward the question patterns that actually appear in CBSE Board exams and the JEE & NEET foundation years, across Easy, Medium and Hard — so it doubles as an "important questions" revision list for "The Mathematics of Maybe: Introduction to Probability".