NCERT Solutions for Class 10 Mathematics Chapter 15 Probability
Class 10 NCERT Mathematics Chapter 15 Probability is all about calculating whether or not the outcome of the occurrence is true. Though Probability is a very complex chapter but with the right study material, students can easily get good grades in the exams. When solving NCERT textbook questions on probability, students can refer to NCERT Solutions for Class 10 Mathematics Chapter 15 by Extramarks.
The subject matter experts at Extramarks have prepared the solutions. The answers to textbook problems are broken down into steps for students so that they can understand the concept properly, and apply it when solving questions.
Class 10 Mathematics NCERT Solutions Chapter 15 is easy to access from any device like mobile phones, laptops, tabs and even desktops. All a student needs to do is log in to the website or app, and access Class 10 Mathematics NCERT Solutions Chapter 15.
NCERT Solutions for Class 10 Mathematics Chapter 15 Probability
Access NCERT Solutions for Class 10 Mathematics Chapter 15 – Probability
Chapter 15 Class 10 Mathematics NCERT Solutions Overview
Class 10 Mathematics Chapter 15 Probability is a high weightage chapter in CBSE Class 10 board examination. Therefore, students must practice all the exercise questions in NCERT books.
NCERT Solutions for Class 10 Mathematics Chapter 15 Probability by Extramarks enable students to get enough understanding of the concept by solving the practice questions accurately. The solutions are in accordance with the latest CBSE syllabus, and are prepared by experienced faculty who know how to make even the most difficult Class 10 concepts interesting and easy.
NCERT Solutions Class 10 Mathematics Chapter 15 comes with two practical exercises – 15.1 and 15.2.
NCERT Solutions for Class 10 Mathematics
Mathematics is a great subject for Class 10 students to increase their probability of securing high scores in their board examination. They can ace the exam by referring NCERT Solutions available for Class 10 Mathematics by Extramarks and solving all the NCERT book questions.
Chapter 1 – Real Numbers
Chapter 2 – Polynomials
Chapter 3 – Pair of Linear Equations in Two Variables
Chapter 4 – Quadratic Equations
Chapter 5 – Arithmetic Progressions
Chapter 6 – Triangles
Chapter 7 – Coordinate Geometry
Chapter 8 – Introduction to Trigonometry
Chapter 9 – Some Applications of Trigonometry
Chapter 10 – Circles
Chapter 11 – Constructions
Chapter 12 – Areas Related to Circles
Chapter 13 – Surface Areas and Volumes
Chapter 14 – Statistics
Chapter 15 – Probability
NCERT Solutions for Class 10 Mathematics Probability – Exercise 15.1
- There are 25 questions in exercise 15.1 and each of these questions has been discussed below to guide the students to step up their problem solving acumen within the limited time frame.
- Q1: Q1 of textbook exercise 15.1 comprises 5 fill in the blanks. Unlike conventional Mathematics questions, you need proper understanding of the concepts to solve them correctly. Answers to all 5 fill in the blanks are provided in NCERT Solutions Class 10 Mathematics Chapter 15.
- Q2: Like the definition of Probability, Q2 of Class 10 CBSE Mathematics Chapter 15 requires you to solve and answer whether or not the mentioned event has a likely outcome. Students who get stuck will find NCERT Solutions Class 10 Mathematics Chapter 15 by Extramarks, is quite beneficial for them..
- Q3: Question 3 of Class 10 CBSE Mathematics Chapter 15 is to understand a student’s take on why tossing a coin is apt for deciding which team gets to bat first. As this is not a regular Mathematics question, Class 10 Mathematics NCERT Solutions Chapter 15 by Extramarks will assist students to answer it as per board guidelines.
- Q4 and Q5: Question 4 of Class 10 CBSE Mathematics Chapter 15 wants students to comprehend, and answer which of the listed situations are not a probability. While question 5 of Class 10 CBSE Mathematics Chapter 15 is a straightforward question asking what will be the probability of ‘not E’ when P(E) = 0.05.
- Q6, 7, 8, 9, 10 and 11: Questions 6,7,8,9,10 and 11 of Class 10 CBSE Mathematics Chapter 15 are typical probability questions to test the practical knowledge of the student. For instance, All of these six questions deal with finding the probability of the given events. For instance, question 8 asks the probability of getting a red ball out of the bag that contains 3 red balls and 5 black balls. Likewise, different situations are given in Q6,7,9,10 and 11 of Class 10 CBSE Mathematics Chapter 15. Though the solving technique for each of these questions is pretty similar yet is different. Class 10 Mathematics NCERT Solutions Chapter 15 by Extramark delves deep into methods for students to solve these 6 questions and other related ones without making any mistakes.
- Q12, 13, 14, 15 and 16: Question 12, 13, 14, 15 and 16 of Class 10 CBSE Mathematics Chapter 15 are also similar to Q6,7,8,9,10 and 11. The only difference is these are about finding the probable outcomes of instances related to numbers and cards.
- Q17, 18, 19, 20, 21 and 22: Questions 17, 18, 19, 20, 21 and 22 of Class 10 CBSE are filled with different probable outcomes for the same situation. The students have to solve these problems the same way they solve other probability questions. These questions are lengthy and thus if asked in the exam, generally carry high weightage.
- Q23, 24 and 25: Questions Q23, 24 and 25 of Class 10 CBSE Mathematics Chapter 15 are the last 3 questions of Exercise 15.1. Very similar to the previous problems but situations to gauge the probability are circled around coin tossing and throwing dice. Usually very engaging for students due to the practical aspect. .
NCERT Solutions for Class 10 Mathematics Probability – Exercise 15.2
- Q1: Question 1 of Exercise 15.2 of Class 10 CBSE Mathematics Chapter 15 is calculating the probability of two humans visiting the shop on the same day, on consecutive days, and on different days.
- Q2: Question 2 of Exercise 15.2 of Class 10 CBSE Mathematics Chapter 15 is a probability question different from the other lot. Though it is about a numbered dice, the tricky part here is that it is rolled twice. A student needs to find the value of total scores. NCERT Solutions Class 10 Mathematics Chapter 15 not only solves this question but also explains how to solve similar questions in the board examination.
- Q3 and 4: Question 3 & 4 of Exercise 15.2 of Class 10 CBSE Mathematics Chapter 15 is similar to Question 8 of exercise 15.1 wherein a student needs to calculate the probability of picking an X coloured ball from a bag of multiple different coloured balls.
- Q5: The last question of Class 10 CBSE Mathematics Chapter 15 is Q5 from Exercise 15.2 The questions require students to find out the probability of drawing blue coloured marbles from the data provided for green coloured marbles. The final question is related to drawing marbles out of a jar.
Related Questions
- A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag.
Solution:
Given: Total number of red balls = 5
Let the total number of blue balls = x
So, the total no. of balls = x+5
P(E) = (Number of favourable outcomes/ Total number of outcomes)
∴ P (drawing a blue ball) = [x/(x+5)] ——–(i)
Similarly,
P (drawing a red ball) = [5/(x+5)] ——–(ii)
From equation (i) and (ii),
x = 10
So, the total number of blue balls = 10