Class 10 Maths Chapter 14 Probability MCQs Quiz!

Struggling with the concepts of chance and uncertainty in Class 10 Maths? Chapter 14, Probability, can often seem tricky, but it’s a high-scoring area if you master the basics. The best way to build that mastery is through consistent practice and testing your understanding.

That’s why we’ve designed the ultimate Class 10 Maths Chapter 14 Probability MCQs Quiz to help you conquer this topic! This interactive quiz is tailored to the latest CBSE syllabus, covering everything from basic probability to complex problems, ensuring you are fully prepared for your upcoming exams.

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Probability MCQs Quiz

Click the Start button to begin the quiz and attempt all questions within the given time. Read each MCQ carefully, select the correct option, and move forward to complete the quiz. Your score will appear at the end to help you check your preparation level..

Q1: Which of the following numbers cannot be a probability?

A: \( 2/3 \)
B: \( 3/2 \)
C: \( 0.7 \)
D: \( 0.1 \)

Explanation: The value of probability always lies between 0 and 1 (both inclusive). \( 3/2 = 1.5 \) is outside this range, so it cannot be a probability.

Q2: What is the probability of getting at least one head when a coin is tossed twice?

A: \( 1/4 \)
B: \( 1/2 \)
C: \( 3/4 \)
D: \( 1 \)

Explanation: Total possible outcomes when tossing two coins: {HH, HT, TH, TT} = 4
Favorable outcomes for at least one head: {HH, HT, TH} = 3
Hence, probability = \( \frac{3}{4} \).

Q3: Find the probability of getting a prime number when a die is thrown.

A: \( 1/2 \)
B: \( 2/3 \)
C: \( 1/3 \)
D: \( 5/6 \)

Explanation: Faces of a die: 1, 2, 3, 4, 5, 6
Prime numbers: 2, 3, 5 (total 3)
Probability = \( \frac{3}{6} = \frac{1}{2} \).

Q4: One card is drawn at random from a deck of 52 cards. Find the probability of getting a king or a spade card.

A: \( \frac{1}{26} \)
B: \( \frac{3}{26} \)
C: \( \frac{4}{13} \)
D: \( \frac{3}{13} \)

Explanation: Total cards = 52
Number of kings = 4
Number of spade cards = 13
The king of spades is included in both, so it will be counted only once.
Total favorable outcomes = 4 (kings) + 13 (spades) – 1 (king of spades) = 16
Probability = \( \frac{16}{52} = \frac{4}{13} \).

Q5: If P(A) = 3/11 and P(B) = 2/7, and A, B, C are three events one of which must occur, then find P(C).

A: \( \frac{1}{77} \)
B: \( \frac{43}{77} \)
C: \( \frac{34}{77} \)
D: None of these

Explanation: Since one of the three events must occur, P(A) + P(B) + P(C) = 1
P(A) = 3/11 = 21/77, P(B) = 2/7 = 22/77
P(A) + P(B) = 21/77 + 22/77 = 43/77
Therefore, P(C) = 1 – 43/77 = 34/77.

Q6: If P(E) denotes the probability of event E, then the correct statement is.

A: P(E) < 0
B: P(E) > 1
C: 0 ≤ P(E) ≤ 1
D: −1 ≤ P(E) ≤ 1

Explanation: The value of probability always lies between 0 and 1 (both inclusive).

Q7: Find the probability of getting an even number when a die is thrown.

A: \( \frac{1}{3} \)
B: \( \frac{2}{3} \)
C: \( \frac{1}{2} \)
D: None of these

Explanation: Even numbers: 2, 4, 6 (total 3)
Total outcomes = 6
Probability = \( \frac{3}{6} = \frac{1}{2} \).

Q8: Find the probability of getting an odd number when a die is thrown.

A: \( \frac{2}{3} \)
B: \( \frac{3}{4} \)
C: \( \frac{1}{4} \)
D: \( \frac{1}{2} \)

Explanation: Odd numbers: 1, 3, 5 (total 3)
Total outcomes = 6
Probability = \( \frac{3}{6} = \frac{1}{2} \).

Q9: Find the probability of getting a sum of 7 or 11 when two dice are thrown.

A: \( \frac{1}{6} \)
B: \( \frac{1}{18} \)
C: \( \frac{2}{9} \)
D: \( \frac{23}{108} \)

Explanation: Total outcomes for two dice = 6 × 6 = 36
Outcomes with sum 7: (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) → 6 outcomes
Outcomes with sum 11: (5,6),(6,5) → 2 outcomes
Total favorable outcomes = 6 + 2 = 8
Probability = \( \frac{8}{36} = \frac{2}{9} \).

Q10: One card is drawn at random from a deck of 52 cards. Find the probability of getting a club card.

A: \( \frac{1}{13} \)
B: \( \frac{1}{2} \)
C: \( \frac{1}{4} \)
D: \( \frac{3}{4} \)

Explanation: Total cards = 52
Number of club cards = 13
Probability = \( \frac{13}{52} = \frac{1}{4} \).

Q11: If E is any event, then find the value of P(E) + P(Ē).

A: 2
B: 1
C: −1
D: None of these

Explanation: According to the principle of complementary events, the sum of the probabilities of an event and its complement is always 1.

Q12: A red and a blue die are thrown together. Find the total number of possible outcomes.

A: 12
B: 20
C: 36
D: 6

Explanation: Each die has 6 faces.
For the red die: 6 outcomes, for the blue die: 6 outcomes.
Total possible outcomes = 6 × 6 = 36.

Q13: A bag contains 4 red and 6 black balls. Find the probability of drawing a black ball.

A: \( \frac{1}{2} \)
B: \( \frac{1}{3} \)
C: \( \frac{3}{5} \)
D: \( \frac{1}{6} \)

Explanation: Total balls = 4 + 6 = 10
Black balls = 6
Probability = \( \frac{6}{10} = \frac{3}{5} \).

Q14: A digit is chosen at random from digits 1 to 9. Find the probability of getting an even digit.

A: \( \frac{1}{2} \)
B: \( \frac{4}{9} \)
C: \( \frac{3}{5} \)
D: \( \frac{1}{6} \)

Explanation: Digits from 1 to 9: 1, 2, 3, 4, 5, 6, 7, 8, 9 (total 9)
Even digits: 2, 4, 6, 8 (total 4)
Probability = \( \frac{4}{9} \).

Q15: What is the probability of a sure event?

A: 0
B: Between 0 and 1
C: 1
D: More than 1

Explanation: A sure event is one that always occurs. Therefore, its probability is 1.

Quiz Results

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Class 10 Maths Chapter 14 Probability MCQs Quiz

Chapter 14 in your Class 10 Maths syllabus introduces you to the fascinating world of Probability – the mathematical study of chance and likelihood. This chapter moves beyond theoretical discussions to equip you with a quantitative framework to measure uncertainty. You will learn about the core concepts of theoretical and experimental probability, how to determine the total number of possible outcomes (sample space), and how to calculate the probability of an event by finding the ratio of favourable outcomes to the total possible outcomes. Mastering these foundational probability formulas for class 10 is crucial for solving complex problems and excelling in your board exams.

Conclusion

In conclusion, mastering probability is not about memorizing formulas but about understanding the logic of chance. Our carefully curated Class 10 Maths Chapter 14 Probability MCQs Quiz is more than just a test; it’s a powerful learning tool designed to identify your strengths and weaknesses. By regularly practicing with these important questions, you’ll build the speed, accuracy, and confidence needed to tackle any probability problem in your Class 10 Maths exam. So, what are you waiting for? Dive in and start quizzing your way to success!

FAQs on Class 10 Maths Chapter 14 Probability MCQs Quiz

What is the basic formula for Probability in Class 10?
The basic formula is: Probability of an Event = (Number of Favourable Outcomes) / (Total Number of Possible Outcomes).
How many questions are there in this Class 10 Probability MCQs Quiz?
Our quiz features a comprehensive set of multiple-choice questions designed to cover all key concepts from Chapter 14, providing you with ample practice.
Are these MCQs based on the latest CBSE syllabus?
Yes, all questions in this Class 10 Maths Chapter 14 Probability MCQs Quiz are strictly based on the latest NCERT curriculum and CBSE guidelines.
What is the difference between experimental and theoretical probability?
Theoretical probability is based on reasoning and calculation (P(E) = n(E)/n(S)), whereas experimental probability is based on the results of an actual experiment conducted.
Is Chapter 14 Probability important for the Class 10 board exam?
Absolutely. Probability is a sure-shot question in the Class 10 Maths exam and is considered a scoring chapter if your concepts are clear.
Can I get answers with explanations for these MCQs?
Yes, upon completing the quiz, you will receive instant feedback along with detailed explanations for each answer to help you understand the concepts better.
What are some common mistakes to avoid in probability questions?
Common mistakes include not considering all possible outcomes, misinterpreting “favourable outcomes,” and confusing “at least” and “at most” scenarios.
Are there any complex formulas I need to memorize for this chapter?
Chapter 14 of Class 10 Maths primarily relies on the fundamental probability formula. The key is to understand the concepts of sample space and events rather than memorizing complex formulas.
How can I improve my score in this Probability MCQs Quiz?
Review your NCERT textbook, practice different types of problems, and retake the quiz to track your improvement. Understanding the “why” behind an answer is key.
Where can I find more practice questions for Class 10 Maths Probability?
You can refer to NCERT exemplar problems, CBSE sample papers, and other online resources offering practice questions for probability class 10 to supplement your learning.

Ace your exams with our comprehensive Class 10 Maths Chapter 14 Probability MCQs Quiz! Test your knowledge of key concepts, practice important questions, and boost your confidence. Get instant feedback and prepare effectively for your CBSE board exams with this interactive quiz.

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