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Class 10 Probability Practice Questions

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CLASS 10 PROBABILITY PRACTICE QUESTIONS
SECTION A — MCQs
If one card is drawn at random from a well-shuffled deck of 52 cards, the probability of getting a red card is:
A. 1/13
B. 1/26
C. 1/2
D. 3/4A die is thrown once. What is the probability of getting a prime number?
A. 1/6
B. 1/3
C. 1/2
D. 2/3The probability of an event that is impossible is:
A. 1
B. −1
C. 0
D. 1/2If the probability of an event A is 0.35, then the probability of the event “not A” is:
A. 0.35
B. 0.65
C. 1.35
D. −0.35The probability of getting a tail when a fair coin is tossed is:
A. 0
B. 1
C. 1/2
D. 1/4
SECTION B — 1-MARK QUESTIONS
Define probability of an event.
Write the formula for theoretical probability.
What is the probability of a sure event?
How many outcomes are possible when a die is thrown once?
Can the probability of an event be greater than 1? Give reason.
SECTION C — 2-MARK QUESTIONS
A coin is tossed once. Find the probability of getting:
(a) a head
(b) a tailFind the probability of getting an even number when a die is thrown once.
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting a king.
A die is thrown once. Find the probability of getting a number less than 3.
Find the probability of getting a vowel when one letter is chosen at random from the English alphabet.
SECTION D – 3 MARK QUESTIONS
Two coins are tossed simultaneously. Find the probability of getting:
(a) two heads
(b) exactly one headA die is thrown once. Find the probability of getting:
(a) a number divisible by 3
(b) a number not divisible by 3One card is drawn from a deck of 52 playing cards. Find the probability of getting:
(a) a red card
(b) a black cardFind the probability of getting a number which is a multiple of 2 or 3 when a die is thrown once.
A letter is chosen at random from the word “PROBABILITY”. Find the probability that the letter chosen is a consonant.
SECTION E – 4 MARK QUESTIONS
Two dice are thrown simultaneously. Find the probability of getting:
(a) a sum of 8
(b) a sum which is a prime numberA card is drawn at random from a standard deck of playing cards. Find the probability that the card drawn is:
(a) a face card
(b) not a face cardThree coins are tossed simultaneously. Find the probability of getting:
(a) exactly two heads
(b) at least one headThe probability that a student will pass an examination is 0.8. Find the probability that the student will not pass the examination.
SECTION F – WORD PROBLEMS
A box contains 5 red balls and 7 blue balls. One ball is drawn at random. Find the probability that the ball drawn is:
(a) red
(b) blueThe probability of winning a game is 0.6. Find the probability of losing the game.
A card is drawn from a well-shuffled deck. Find the probability that the card is neither a king nor a queen.
From a bag containing 4 white, 6 red, and 10 black balls, one ball is drawn at random. Find the probability that the ball drawn is black.
A letter is chosen at random from the word “STATISTICS”. Find the probability that the letter chosen is a vowel.
Class 10 Probability Practice Questions – Complete CBSE Chapter Guide
Class 10 Probability Practice Questions are extremely important for CBSE Class 10 students because this chapter introduces the mathematical concept of chance and uncertainty in a simple yet highly examinable manner. Probability is the final chapter of the Class 10 Maths syllabus, and it often acts as a scoring booster in the board examination. Regular practice of Class 10 Probability Practice Questions helps students develop clarity, logical thinking, and accuracy while solving real-life probability problems.
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According to the latest CBSE exam blueprint, Probability carries around 3–4 marks in the Class 10 Board Examination. Questions from this chapter are usually direct but concept-based, and even a small mistake can lead to loss of marks. That is why consistent practice of high-quality Class 10 Probability Practice Questions is essential.
Why Class 10 Probability Practice Questions Are Important
Probability appears simple, but many students lose marks due to misunderstanding of outcomes or incorrect counting of favourable cases. Solving Class 10 Probability Practice Questions regularly helps students:
Understand the concept of equally likely outcomes
Apply the formula of theoretical probability correctly
Identify favourable and total outcomes accurately
Avoid logical and counting errors
Solve real-life probability situations confidently
This chapter also strengthens logical reasoning, which is useful in competitive exams as well.
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Topics Covered Through Class 10 Probability Practice Questions
All Class 10 Probability Practice Questions on this page strictly follow the latest CBSE syllabus and cover the following topics:
Concept of probability
Theoretical probability
Equally likely outcomes
Probability of an event
Probability of complementary events
Simple experiments involving:
Coins
Dice
Playing cards
Letters of words
Balls drawn from bags
No deleted or out-of-syllabus topics are included, ensuring focused board-exam preparation.
Exam Pattern and Trends in Probability
Recent CBSE board papers show that Class 10 Probability Practice Questions are commonly asked in the following formats:
MCQs based on basic probability concepts
Short numerical questions involving coins and dice
3–4 mark word problems using cards or balls
Questions based on complementary probability
The level of questions is usually easy to moderate, but accuracy is the key to scoring full marks.
How These Class 10 Probability Practice Questions Help You Score 95+
Scoring high in Probability depends on understanding, not memorisation. The Class 10 Probability Practice Questions provided on this page are designed to:
Strengthen understanding of probability fundamentals
Improve accuracy in counting outcomes
Reduce silly mistakes in calculations
Build confidence for board-level word problems
Help students secure full marks from this chapter
With regular practice, Probability becomes one of the most reliable scoring chapters in the Maths paper.
Common Mistakes Students Make in Probability
Students often lose marks due to:
Incorrect counting of total outcomes
Including impossible outcomes
Confusion between favourable and unfavourable cases
Forgetting to use complementary probability
Writing incomplete reasoning in answers
Practising structured Class 10 Probability Practice Questions regularly helps eliminate these mistakes naturally.
How to Use This Page Effectively
To get the maximum benefit from this page:
Revise the probability formula before solving questions
Practise coin and dice problems thoroughly
Pay attention to counting outcomes carefully
Solve word problems step by step
Recheck final probability values
Following this approach ensures mastery of Class 10 Probability Practice Questions before the board examination.
Who Should Use These Class 10 Probability Practice Questions?
This page is ideal for:
CBSE Class 10 students
Students aiming for 95–99 marks in Mathematics
Teachers looking for exam-oriented practice material
Students revising before pre-boards and final exams
The difficulty level is aligned with actual CBSE board expectations.
Final Words
Probability is a short, logical, and highly scoring chapter in Class 10 Mathematics when practised properly. Regular practice using high-quality Class 10 Probability Practice Questions ensures strong conceptual understanding, accuracy, and confidence during the board exam.
This page is designed to act as a complete practice solution for mastering Probability and finishing the Class 10 Maths syllabus on a high-scoring note.
Daily Update: Colorful Notes, Flashcards, Tests, Worksheets, etc are shared .
Daily Update: Quizzes, Flashcards, Tests, Worksheets etc are shared .
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CBSE Class 10 Complete Exam Preparation Materials
✅ Oswaal Class 10 SST — Topper's Choice
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✅ Oswaal Class 10 SST — Topper's Choice
✅ Together With SST — Best for Practice
✅ Oswaal Science Class 10 — Chapter Wise
✅ RD Sharma Maths — Most Popular