NCERT Solutions for Class 9 Maths Chapter 7 Exercise 7.1 | 2026-27

Think and Reflect 

Question 1.

Such unpredictability can be useful sometimes! For example, in a cricket match, tossing a coin to decide which team bats first is considered a fair method. Can you explain why?

Solution: 

A coin toss in cricket decides which team bats or bowls first. It is considered fair because it is based on basic probability.

• Equal chances: A coin has two sides, Heads and Tails. In a fair coin, both sides have an equal chance of landing face up.
  Probability of Heads = 1/2 (50%)
  Probability of Tails = 1/2 (50%)
  Therefore, both teams have an equal chance of winning the toss.

• Random result: A coin toss is a random experiment, so we cannot predict the result before the coin is tossed. Therefore, neither team has an advantage.

• Only one outcome at a time: A toss can be either Heads or Tails, but not both. This makes the decision clear, as only one team can win the toss.

• Independent event: Each toss is independent of the previous toss. This means earlier results do not affect the next toss. Even if Heads appears several times in a row, the next toss still has a 50-50 chance of being Heads or Tails.

• Fair and open process: The toss is conducted in front of both captains and the referee, making the process transparent and fair.

Conclusion: Since both teams have the same probability of winning the toss, a coin toss is a fair, unbiased way to decide which team bats or bowls first.

Think and Reflect  

Question 1.

Ask your friend to predict the outcome of a ₹1 coin toss. You can see that your friend could guess heads or tails but couldn't know for certain. That’s randomness! All possible results are known, but each try is unpredictable.

Solution:

Randomness means we cannot predict the exact result before an event happens. In a coin toss, there are 2 possible outcomes: Heads or Tails, but we cannot know which one will occur.

Example: If you toss a coin 3 times, you might get Heads, Tails, Heads. You know the results only after each toss.

Exercise Set 7.1 

Question 1.

Rank the following events on a scale from 0 (Impossible) to 1 (Certain). Label each event: Impossible, less likely, equally likely (even chance), more likely, certain. Give reasons why you gave each event its ranking.

(i) Next Monday will come after Sunday.

(ii) It will snow in Mumbai in July.

(iii) An elephant will walk through your classroom today.

(iv) You will greet at least one friend at school tomorrow.

Solution:

(i) Next Monday will come after Sunday.

• Probability: 1

• Label: Certain

• Reason: Monday always comes after Sunday, so this event will definitely happen.

(ii) It will snow in Mumbai in July.

• Probability: 0

• Label: Impossible

• Reason: Snowfall in Mumbai in July is not expected under normal conditions.

(iii) An elephant will walk through your classroom today.

• Probability: 0

• Label: Impossible

• Reason: An elephant cannot normally walk through a classroom.

(iv) You will greet at least one friend at school tomorrow.

• Probability: More than 0 but less than 1

• Label: More likely

• Reason: You are likely to meet and greet a friend at school, but it is not guaranteed.

Key Concepts Covered in Class 9 Maths Chapter 7 Exercise 7.1

Class 9 Maths Chapter 7 Exercise 7.1 introduces the key concepts needed to build a strong understanding of the chapter. The questions encourage you to apply these concepts rather than simply memorise formulas or steps. Working through the exercise carefully can improve your mathematical reasoning and problem-solving skills.

• Understand the main concepts: Learn the basic ideas covered in Exercise 7.1 before moving to more complex questions.

• Apply the right method: Practise identifying the appropriate concept and applying it correctly to each problem.

• Learn through examples: Step-by-step NCERT solutions for Class 9 Maths Chapter 7 Exercise 7.1 help you understand how to solve the questions.

• Practise independently: Attempt the questions on your own before checking the answers to build confidence and accuracy.

• Revise conveniently: Download the Class 9 Maths Chapter 7 Exercise 7.1 Solutions PDF to refer to the solutions during revision and practice.

Common Mistakes to Avoid in Class 9 Maths Chapter 7 Exercise 7.1

Careless errors can turn an otherwise correct approach into a wrong answer. While solving Class 9 Maths NCERT Solutions Chapter 7 Exercise 7.1, pay attention to the question, the steps involved, and your calculations.

• Misunderstanding the question

• Choosing the wrong approach

• Skipping steps

• Making calculation errors

• Relying only on the final answer

• Not rechecking your work

Get Exercise-wise NCERT Solutions for Chapter 7 Maths Class 9

CBSE Class 9 Maths Chapter 7 Related Study Materials

Chapter-Specific NCERT Solutions for Class 9 Maths

Additional Study Materials for Class 9 Maths