CBSE Class 10 Mathematics Probability MCQs Set 13

Download CBSE MCQs for Class 10 Mathematics: Chapter 14 Probability

Explore reliable objective questions for Chapter 14 Probability tailored for Class 10 learners. Utilizing these Mathematics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.

Chapter-wise Objective Questions: Chapter 14 Probability

Navigate directly to the 50 objective questions for Chapter 14 Probability using the digital viewer below. Each practice set includes verified answer keys, allowing students to instantly cross-check their work and identify areas requiring further revision.

Multiple Choice Questions

Question 1: A number is chosen at random from the numbers 1 to 100. The probability that it is a prime is
(a) \( \frac{1}{5} \)
(b) \( \frac{6}{25} \)
(c) \( \frac{1}{4} \)
(d) \( \frac{13}{15} \)
Show Answer & Explanation

Answer: (c) \( \frac{1}{4} \)

Explanation:
1. There are 25 primes from 1 to 100.
2. P = 25/100 = 1/4.

Teacher's Note:
1. Recall the primes up to 100: 25 of them.
2. 1 is not prime.

Question 2: A number is chosen at random from the numbers −5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5. The probability that the square of this number is less than or equal to 1 is
(a) \( \frac{1}{11} \)
(b) \( \frac{2}{11} \)
(c) \( \frac{3}{11} \)
(d) \( \frac{3}{26} \)
Show Answer & Explanation

Answer: (c) \( \frac{3}{11} \)

Explanation:
1. Squares ≤ 1 occur for −1, 0, 1: 3 numbers.
2. Total = 11, so P = 3/11.

Teacher's Note:
1. Include 0 and both ±1.
2. Count all 11 numbers in the list.

Question 3: If the probability of an event E happening is 0.023, then P(not E) =
(a) 0.245
(b) 0.977
(c) 0.678
(d) 0.5
Show Answer & Explanation

Answer: (b) 0.977

Explanation:
1. P(not E) = 1 − P(E) = 1 − 0.023 = 0.977.

Teacher's Note:
1. Complementary events add up to 1.
2. Subtract carefully with decimals.

Question 4: A card is drawn at random from a well shuffled pack of 52 playing cards. The probability of getting a red face card is
(a) \( \frac{3}{26} \)
(b) \( \frac{5}{26} \)
(c) \( \frac{2}{13} \)
(d) \( \frac{1}{26} \)
Show Answer & Explanation

Answer: (a) \( \frac{3}{26} \)

Explanation:
1. Face cards are J, Q, K: 3 per suit; red suits are 2, so 6 red face cards.
2. P = 6/52 = 3/26.

Teacher's Note:
1. Do not count aces as face cards.
2. Hearts and diamonds are red.

Question 5: Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. The probability of Reshma winning the match is
(a) 0.22
(b) 0.24
(c) 0.38
(d) 0.35
Show Answer & Explanation

Answer: (c) 0.38

Explanation:
1. A tennis match has no draw, so the two probabilities add to 1.
2. P(Reshma) = 1 − 0.62 = 0.38.

Teacher's Note:
1. Win and lose are complementary events here.
2. Subtract from 1.

Question 6: The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. The number of rotten apples in the heap is
(a) 122
(b) 144
(c) 162
(d) 184
Show Answer & Explanation

Answer: (c) 162

Explanation:
1. Number of rotten apples = 0.18 × 900 = 162.

Teacher's Note:
1. Probability × total gives the favourable count.
2. Check: 162/900 = 0.18.

Question 7: If the probability of winning a game is 0.07, the probability of losing it is
(a) 0.33
(b) 0.63
(c) 0.93
(d) 0.57
Show Answer & Explanation

Answer: (c) 0.93

Explanation:
1. P(losing) = 1 − 0.07 = 0.93.

Teacher's Note:
1. Winning and losing are complementary.
2. Subtract from 1.

Question 8: Cards numbered 7 to 40 were put in a box. Poonam selects a card at random. The probability that she selects a card which is a multiple of 7 is
(a) \( \frac{3}{28} \)
(b) \( \frac{5}{34} \)
(c) \( \frac{7}{34} \)
(d) \( \frac{9}{34} \)
Show Answer & Explanation

Answer: (b) \( \frac{5}{34} \)

Explanation:
1. Total cards = 40 − 7 + 1 = 34.
2. Multiples of 7: 7, 14, 21, 28, 35 → 5 cards.
3. P = 5/34.

Teacher's Note:
1. Include 7 itself.
2. Count the cards carefully: 34.

Free study material for Mathematics

Download Chapter MCQs: Class 10 Mathematics Chapter 14 Probability

Chapter MCQs with Answers for Class 10 Mathematics

Test your conceptual understanding of Chapter 14 Probability with these targeted multiple-choice questions. Designed in alignment with the latest CBSE curriculum for Class 10 Mathematics, these problem sets build accuracy and prepare students for objective exams.

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FAQs

Where can I access latest CBSE Class 10 Mathematics Probability MCQs Set 13?

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Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 10 material?

Yes, our CBSE Class 10 Mathematics Probability MCQs Set 13 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

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By solving our CBSE Class 10 Mathematics Probability MCQs Set 13, Class 10 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

Do you provide answers and explanations for CBSE Class 10 Mathematics Probability MCQs Set 13?

Yes, Mathematics MCQs for Class 10 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.

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