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By Karan Singh Bisht
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Updated on 11 Jun 2025, 18:21 IST
RD Sharma Solutions for Class 10 Maths Chapter 13 – Probability are available here in a simplified, student-friendly format. Designed by subject matter experts, these solutions aim to build a strong conceptual foundation in probability for Class 10 students. Regular practice with RD Sharma solutions not only improves academic performance but also sharpens time management and problem-solving skills, essential for board exams.
To further support learning, the solutions feature clear explanations and visual aids, making complex concepts easier to grasp. Created by the expert faculty at Infinity Learn, these answers align with the latest 2025–26 CBSE syllabus and are presented in a step-by-step manner for better retention.
Students can download the updated free PDF of Chapter 13 solutions using the links provided below and enhance their preparation with high-quality academic support.
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Q. A coin is tossed once. What is the probability of getting a head?
Answer: Sample space = {H, T}
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Favorable outcomes = 1
Probability = 1/2
Q. A die is rolled. What is the probability of getting a number less than 5?
Answer: Favorable outcomes = {1, 2, 3, 4}
Total outcomes = 6
Probability = 4/6 = 2/3
Q. A letter is chosen randomly from the word "PROBABILITY". Find the probability of selecting a vowel.
Answer: Word: P, R, O, B, A, B, I, L, I, T, Y
Vowels: O, A, I, I → 4 vowels
Total letters = 11
Probability = 4/11
Q. A card is drawn from a deck of 52 cards. What is the probability of getting a red card?
Answer: Red cards = 26
Probability = 26/52 = 1/2
Q. A number is chosen at random from 1 to 10. Find the probability that it is a prime number.
Answer: Prime numbers = {2, 3, 5, 7}
Total outcomes = 10
Probability = 4/10 = 2/5
Q. A die is thrown. Find the probability of getting an even number.
Answer: Even numbers = {2, 4, 6}
Probability = 3/6 = 1/2
Q. A coin is tossed twice. What is the probability of getting at least one head?
Answer: Sample space = {HH, HT, TH, TT}
Favorable outcomes = {HH, HT, TH}
Probability = 3/4
Q. What is the probability of drawing a queen from a deck of 52 cards?
Answer: Queens = 4
Probability = 4/52 = 1/13
Q. Two dice are rolled. What is the probability of getting a sum of 7?
Answer: Favorable outcomes = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}
Total = 6 outcomes
Total possibilities = 36
Probability = 6/36 = 1/6
Q. A number is chosen from 1 to 100. Find the probability it is a multiple of 5.
Answer: Multiples of 5 = 20
Total outcomes = 100
Probability = 20/100 = 1/5
Q. A die is thrown once. What is the probability of getting a composite number?
Answer: Composite numbers on a die = {4, 6}
Probability = 2/6 = 1/3
Q. Find the probability of getting a face card from a deck.
Answer: Face cards = J, Q, K in each suit = 12 total
Probability = 12/52 = 3/13
Q. What is the probability of getting an odd number from 1 to 20?
Answer: Odd numbers = 10
Total numbers = 20
Probability = 10/20 = 1/2
Q. A card is drawn. What is the probability it is a king or a spade?
Answer: Kings = 4, Spades = 13 (but 1 king is already in spades)
Favorable outcomes = 4 + 13 - 1 = 16
Probability = 16/52 = 4/13
Q. A bag contains 3 red, 5 blue, and 2 green balls. Find the probability of drawing a red ball.
Answer: Total balls = 10
Red = 3
Probability = 3/10
Q. A number is chosen at random from 1 to 50. Find the probability that it is divisible by 6.
Answer: Multiples of 6 = {6, 12, 18, 24, 30, 36, 42, 48} = 8 numbers
Probability = 8/50 = 4/25
Q. A die is thrown. Find the probability of getting a number greater than 4.
Answer: Numbers > 4 = {5, 6}
Probability = 2/6 = 1/3
Q. In a class of 30 students, 18 are girls. A student is picked at random. Find the probability that it is a girl.
Answer: Probability = 18/30
= 3/5
Q. A card is drawn from a standard deck. What is the probability that it is not a heart?
Answer: Hearts = 13
Not a heart = 52 - 13 = 39
Probability = 39/52 = 3/4
Q. A coin is tossed 3 times. Find the probability of getting exactly 2 heads.
Answer: Sample space = 8 outcomes
Favorable = {HHT, HTH, THH} = 3
Probability = 3/8
Students can access the detailed RD Sharma Solutions for Class 10 Maths Chapter 13 – Probability for free on Infinity Learn. The solutions are prepared by expert faculty and follow the latest CBSE syllabus for 2024–25.
Yes, Infinity Learn provides 100% accurate and exam-focused solutions for Chapter 13 – Probability. These solutions are created by subject matter experts to help students improve conceptual understanding and board exam performance.
Infinity Learn RD Sharma solutions offer step-by-step answers, visual explanations, and topic-wise clarity, helping students master Class 10 Probability and score higher in CBSE board exams.
Absolutely, Infinity Learn offers free PDF downloads for RD Sharma Class 10 Chapter 13 solutions, so students can study offline anytime and strengthen their problem-solving skills.