The chapter, Probability, introduces students to outcomes, events, sample space, and probability calculations through mathematical problems. Students learn to identify possible outcomes, understand events, and calculate probabilities to improve their logical reasoning and analytical thinking skills. Practicing MCQs helps students strengthen their concepts and prepare for objective questions in CBSE board exams.
The chapter also focuses on conceptual understanding and application-based problem-solving, helping students improve their accuracy and confidence. Practicing chapter-wise MCQs and preparing through CBSE Board resources and MCQs Class 10 Maths can help students revise important concepts and prepare according to the latest syllabus.
Topics Covered
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
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MCQs for Class 10 Maths Chapter 14 Probability with Answers and Explanations
Prepare for your Maths exam by solving these Statistics MCQs for Class 10. They are designed to help students understand the concepts clearly and solve questions accurately. By practicing these solutions regularly, students can improve their understanding of the chapter and prepare confidently for school tests and exams.
Q1. 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.
Q2. 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.
Q3. 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.
Q4. 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.
Q5. 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.
Q6. 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.
Q7. 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.
Q8. 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.
Q9. 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.
Q10. 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.
Q11. 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.
Q12. 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.
Q13. 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.
Q14. 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.
Q15. 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.
Q16. 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.
Q17. 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.
Q18. 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.
Q19. 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.
Q20. 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.
Q21. 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.
Q22. 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.
Q23. 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.
Q24. 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.
Q25. 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.
Q26. 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.
Q27. 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.
Q28. 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.
Q29. 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.
Q30. 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. Common mistakes are :
- 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
