Understanding chance and uncertainty becomes much easier when students learn how mathematical probability works in real-life situations, and that is exactly what students study in Probability. This chapter mainly focuses on outcomes, events, sample space, and probability calculations that help students improve logical reasoning and analytical thinking for CBSE board exams. Practicing Probability Class 10 MCQs regularly helps students strengthen outcome analysis, event identification, and mathematical reasoning skills for competency-based objective questions. The latest CBSE pattern now focuses more on conceptual understanding and application-oriented problem solving instead of direct memorization, which makes regular practice of Probability Class 10 MCQs with Answers extremely important for improving confidence and solving accuracy. Students preparing for examinations can also explore MCQs, Class 10 MCQs, CBSE Board, and MCQs Class 10 Maths for chapter-wise objective practice based on the latest syllabus and board exam trends.
Why Probability is Important in Class 10 Maths
Probability is one of the most practical chapters in Mathematics because it explains how the possibility of events can be measured mathematically.
This chapter helps students understand:
how outcomes are analyzed,
how events are predicted,
how possibilities are calculated,
and how mathematical reasoning is applied in uncertain situations.
This chapter is important because:
Probability Class 10 MCQs are frequently asked in CBSE board exams
Logical reasoning skills improve significantly
Students understand outcome analysis properly
Event interpretation becomes easier
Competency-based questions are increasing
Mathematical thinking improves naturally
Practical application of probability becomes stronger
Students who practice Probability MCQs Class 10 regularly usually solve reasoning-based questions more confidently in examinations.
Important Concepts Covered in Probability Class 10 MCQs
Before solving Probability Class 10 MCQs with Answers, students should revise all important concepts carefully because many objective questions are directly concept and logic based.
Important concepts covered in this chapter include:
- Probability
- Random experiment
- Event
- Sample space
- Favourable outcomes
- Total outcomes
- Experimental probability
- Impossible event
- Sure event
- Outcome analysis
- Probability values
- Mathematical reasoning
These concepts are extremely important for solving CBSE Probability Class 10 MCQs accurately.
Probability Class 10 MCQs with Answers
Practice important and exam-oriented Probability Class 10 MCQs designed according to the latest CBSE pattern and competency-based learning approach. These objective questions help students improve logical reasoning, event interpretation, probability calculations, and board exam preparation skills effectively.
Q. If the probability of an event is 0.35, then the probability of the event not occurring is:
A) 0.45
B) 0.55
C) 0.65
D) 0.75
Answer: C
Explanation:
P(not E) = 1 - P(E)
= 1 - 0.35
= 0.65.
Q. The probability of a sure event is:
A) 0
B) 1/2
C) 1
D) 2
Answer: C
Explanation:
A sure event always occurs, so its probability is 1.
Q. Which of the following cannot be a probability?
A) 0.8
B) 1.2
C) 3/5
D) 0
Answer: B
Explanation:
Probability always lies between 0 and 1.
1.2 is greater than 1.
Q. A card is drawn from a deck of 52 cards. Find the probability of drawing a king.
A) 1/26
B) 1/13
C) 2/13
D) 1/4
Answer: B
Explanation:
There are 4 kings in 52 cards.
Probability = 4/52 = 1/13.
Q. A bag contains 6 blue balls and 4 yellow balls. Find the probability of drawing a yellow ball.
A) 2/5
B) 3/5
C) 1/2
D) 4/5
Answer: A
Explanation:
Total balls = 6 + 4 = 10
Probability of yellow ball = 4/10 = 2/5.
Q. When a fair die is rolled, the probability of getting a number greater than 4 is:
A) 1/6
B) 1/3
C) 1/2
D) 2/3
Answer: B
Explanation:
Numbers greater than 4 are 5 and 6.
Probability = 2/6 = 1/3.
Q. Two coins are tossed together. Find the probability of getting exactly one head.
A) 1/4
B) 1/2
C) 3/4
D) 1
Answer: B
Explanation:
Possible outcomes are HH, HT, TH, TT.
Exactly one head occurs in HT and TH.
Probability = 2/4 = 1/2.
Q. A card is selected from a deck of 52 cards. Find the probability of drawing a red card.
A) 1/4
B) 1/3
C) 1/2
D) 2/3
Answer: C
Explanation:
There are 26 red cards in a deck.
Probability = 26/52 = 1/2.
Q. The probability of an impossible event is:
A) 0
B) 1
C) 1/2
D) -1
Answer: A
Explanation:
An impossible event never occurs, so its probability is 0.
Q. A bag contains 5 white balls, 7 green balls, and 8 black balls. Find the probability of drawing a green ball.
A) 7/20
B) 5/20
C) 8/20
D) 3/10
Answer: A
Explanation:
Total balls = 5 + 7 + 8 = 20
Probability = 7/20.
Q. If a die is rolled, the probability of getting an even number is:
A) 1/6
B) 1/3
C) 1/2
D) 2/3
Answer: C
Explanation:
Even numbers are 2, 4, 6.
Probability = 3/6 = 1/2.
Q. A card is drawn from a deck. Find the probability of getting a face card.
A) 3/13
B) 1/13
C) 4/13
D) 1/4
Answer: A
Explanation:
There are 12 face cards in a deck.
Probability = 12/52 = 3/13.
Q. A coin is tossed three times. Find the probability of getting all heads.
A) 1/4
B) 1/8
C) 3/8
D) 1/16
Answer: B
Explanation:
Total outcomes = 2^3 = 8
Only one outcome gives all heads.
Probability = 1/8.
Q. The sum of probabilities of all outcomes in an experiment is:
A) 0
B) 1/2
C) 1
D) 2
Answer: C
Explanation:
Total probability of all possible outcomes is always 1.
Q. A die is rolled. Find the probability of getting a prime number.
A) 1/6
B) 1/3
C) 1/2
D) 2/3
Answer: C
Explanation:
Prime numbers on a die are 2, 3, 5.
Probability = 3/6 = 1/2.
Q. A box contains 9 pens, out of which 2 are defective. Find the probability of selecting a good pen.
A) 2/9
B) 5/9
C) 7/9
D) 8/9
Answer: C
Explanation:
Good pens = 9 - 2 = 7
Probability = 7/9.
Q. If P(A) = 0.42, then P(not A) is:
A) 0.42
B) 0.48
C) 0.58
D) 1.42
Answer: C
Explanation:
P(not A) = 1 - 0.42
= 0.58.
Q. A card is drawn from 52 cards. Find the probability of drawing a black queen.
A) 1/52
B) 1/26
C) 1/13
D) 2/13
Answer: B
Explanation:
There are 2 black queens.
Probability = 2/52 = 1/26.
Q. When two dice are rolled together, the probability of getting sum 7 is:
A) 1/12
B) 1/6
C) 5/36
D) 7/36
Answer: B
Explanation:
Favorable outcomes are
(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)
Total = 6 outcomes
Probability = 6/36 = 1/6.
Q. A number is selected from 1 to 20. Find the probability that it is divisible by 4.
A) 1/5
B) 1/4
C) 3/10
D) 2/5
Answer: B
Explanation:
Numbers divisible by 4 are 4, 8, 12, 16, 20.
Total favorable outcomes = 5
Probability = 5/20 = 1/4.
Q. If a card is drawn from a deck, the probability of getting a heart card is:
A) 1/2
B) 1/4
C) 1/13
D) 3/13
Answer: B
Explanation:
There are 13 heart cards in 52 cards.
Probability = 13/52 = 1/4.
Q. A die is thrown. Find the probability of getting a number less than 5.
A) 1/3
B) 1/2
C) 2/3
D) 5/6
Answer: C
Explanation:
Numbers less than 5 are 1, 2, 3, 4.
Probability = 4/6 = 2/3.
Q. Two coins are tossed. Find the probability of getting at least one tail.
A) 1/4
B) 1/2
C) 3/4
D) 1
Answer: C
Explanation:
Possible outcomes: HH, HT, TH, TT
At least one tail occurs in HT, TH, TT.
Probability = 3/4.
Q. A bag contains 12 balls numbered from 1 to 12. Find the probability of drawing a multiple of 3.
A) 1/6
B) 1/4
C) 1/3
D) 1/2
Answer: C
Explanation:
Multiples of 3 are 3, 6, 9, 12.
Probability = 4/12 = 1/3.
Q. A card is drawn from a deck. Find the probability of drawing an ace.
A) 1/26
B) 1/13
C) 1/4
D) 2/13
Answer: B
Explanation:
There are 4 aces in 52 cards.
Probability = 4/52 = 1/13.
Q. If two dice are thrown together, the probability of getting double numbers is:
A) 1/12
B) 1/6
C) 1/3
D) 1/2
Answer: B
Explanation:
Double numbers are
(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)
Probability = 6/36 = 1/6.
Q. A number is chosen from 1 to 15. Find the probability that it is an odd number.
A) 7/15
B) 8/15
C) 1/2
D) 2/3
Answer: B
Explanation:
Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.
Total = 8
Probability = 8/15.
Q. A box contains 4 red, 5 blue, and 6 green balls. Find the probability of drawing a blue ball.
A) 1/3
B) 5/15
C) 2/5
D) 3/5
Answer: A
Explanation:
Total balls = 4 + 5 + 6 = 15
Probability = 5/15 = 1/3.
Q. The probability of getting a tail when a fair coin is tossed is:
A) 0
B) 1/4
C) 1/2
D) 1
Answer: C
Explanation:
A fair coin has two equally likely outcomes.
Probability of tail = 1/2.
Q. A die is rolled once. Find the probability of getting neither 1 nor 6.
A) 1/3
B) 1/2
C) 2/3
D) 5/6
Answer: C
Explanation:
Numbers other than 1 and 6 are 2, 3, 4, 5.
Probability = 4/6 = 2/3.
Instructions Before Solving Probability MCQs
- Read the complete question carefully before counting outcomes because small interpretation mistakes can change the answer completely.
- Identify the required event properly before selecting favourable outcomes.
- Count total outcomes carefully because students often miss possibilities during calculations.
- Understand the sample space clearly before applying the probability formula.
- Simplify probability values properly whenever required.
- Practice competency-based and application-oriented Probability Class 10 MCQs regularly because the latest CBSE pattern focuses heavily on logical understanding.
- Avoid rushing calculations because probability questions require careful observation and reasoning.
- Revise all important concepts regularly to improve confidence and solving accuracy during examinations.
Common Mistakes Students Make in Probability Questions
Many students lose marks in Probability Class 10 MCQs because of incorrect outcome counting and logical confusion.
Some common mistakes include:
- Incorrect sample space identification
- Missing favourable outcomes
- Confusion between event and outcome
- Wrong probability simplification
- Formula application mistakes
- Calculation errors during counting
- Improper interpretation of random experiments
Students should solve probability questions carefully instead of depending only on shortcuts.
Understanding Probability in Simple Language
Probability helps students measure the possibility of an event happening mathematically.
For example:
tossing a coin,
rolling a dice,
selecting cards,
or picking objects randomly are all probability-based situations.
Probability always depends on:
total possible outcomes,
and favourable outcomes.
If an event cannot happen, its probability becomes 0.
If an event is certain to happen, its probability becomes 1.
All probability values always lie between 0 and 1.
This chapter becomes easier when students understand the logic of outcomes and events instead of memorizing formulas mechanically.
Important Formula Used in Probability Class 10 MCQs
The following formula is extremely important for solving Probability MCQs Class 10 and board exam questions.
| Concept | Formula |
|---|---|
| Probability of an Event | Number of Favourable Outcomes / Total Number of Outcomes |
Students should revise this formula regularly because many Probability Class 10 objective questions are directly concept and calculation based.
Important Terms Students Must Understand
The following terms are very important for solving Probability Class 10 MCQs with Answers correctly.
| Term | Meaning |
|---|---|
| Random Experiment | Activity with uncertain outcome |
| Outcome | Possible result of experiment |
| Event | Collection of outcomes |
| Sample Space | Set of all possible outcomes |
| Favourable Outcome | Outcome related to required event |
| Sure Event | Event with probability 1 |
| Impossible Event | Event with probability 0 |
Understanding these terms properly improves conceptual clarity and solving speed.
Understanding Events and Outcomes Visually
One of the most important skills in this chapter is understanding how outcomes and events are connected mathematically.
Students can improve probability understanding by:
- Listing outcomes carefully
- Observing patterns logically
- Understanding random experiments properly
- Comparing possible and favourable outcomes
- Practicing reasoning-based questions regularly
Once students become comfortable with outcome analysis and event interpretation, solving Probability Class 10 MCQs with Answers becomes much easier.
Revision Notes for Probability Class 10 MCQs
Students should revise these important points regularly before exams:
- Probability values lie between 0 and 1
- Impossible event has probability 0
- Sure event has probability 1
- Sample space contains all outcomes
- Favourable outcomes should be counted carefully
- Probability formula requires accurate substitution
- Logical reasoning improves solving accuracy
- Outcome interpretation is very important
Short revision sessions help improve concept retention and board exam confidence significantly.
Final Summary
Practicing Probability Class 10 MCQs with Answers is one of the best ways to improve logical reasoning, outcome analysis, and mathematical thinking for Class 10 Maths. This chapter is highly concept-oriented because students must understand events, sample space, and favourable outcomes together instead of focusing only on direct calculations. Students preparing for CBSE board exams should focus on conceptual clarity, careful outcome counting, and regular objective practice to improve confidence and solving speed naturally. Consistent practice of Probability Class 10 MCQs helps students strengthen analytical reasoning, calculation accuracy, mathematical understanding, and overall board exam performance effectively.