Class 9 Maths Ganita Manjari Chapter 7 Exercise 7.3 Solutions

Sample space is the complete list of all possible outcomes of a random experiment.
Class 9 Maths Ganita Manjari Chapter 7 Exercise 7.3 connects sample space with events, sample size, dice, coins, balls and snack-drink combinations.

Chapter 7, The Mathematics of Maybe: Introduction to Probability Class 9, introduces sample space and events after explaining experimental and theoretical probability. Exercise 7.3 asks students to list possible outcomes clearly and identify events as selected outcomes from the sample space. Class 9 Maths Ganita Manjari Chapter 7 Exercise 7.3 Solutions cover die outcomes, combined outcomes of a die and coin, random integers from -5 to +5, drawing a ball from a box, and snack-drink combinations at a village fair. The textbook defines sample space as the list of all possible outcomes and an event as a subset of a sample space.

Key Takeaways

• Sample Space: It includes every possible outcome exactly once.
• Sample Size: The number of outcomes in sample space is written as n(S).
• Event: An event is a selected outcome or group of outcomes from S.
• Combination Listing: Multi-choice situations are listed by pairing each option from one group with each option from another group.

Class 9 Maths Ganita Manjari Chapter 7 Exercise 7.3 Solutions Structure 2026

Class 9 Maths Ganita Manjari Chapter 7 Exercise 7.3 Solutions for Sample Space

Exercise 7.3 begins with the sample space of a die. A standard 6-sided die has six possible outcomes, so its sample size is 6.

Q1. When a single 6-sided die is rolled, what is the total number of possible outcomes in the sample space?

The total number of possible outcomes is 6.

Sample space:

S = {1, 2, 3, 4, 5, 6}

Sample size:

n(S) = 6

Answer:

The total number of possible outcomes in the sample space is 6.

Ganita Manjari Class 9 Chapter 7 Exercise 7.3: Writing Sample Spaces

A sample space should include all possible outcomes of the experiment. For combined experiments, each outcome should show one result from each part of the experiment.

Q2. For the following experiments, write down the sample space S.

Q2(i). Rolling a die and tossing a coin together.

The sample space has 12 outcomes because a die has 6 outcomes and a coin has 2 outcomes.

Die outcomes:

1, 2, 3, 4, 5, 6

Coin outcomes:

H, T

Sample space:

S = {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}

Sample size:

n(S) = 12

Answer:

S = {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}

Q2(ii). Choosing a random integer between -5 and +5.

The sample space has all integers from -5 to +5.

Sample space:

S = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

Sample size:

n(S) = 11

Answer:

S = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

Q2(iii). A box containing 5 green and 7 red balls. One ball is drawn at random.

The sample space for colour outcomes has two outcomes: green and red.

Sample space:

S = {Green, Red}

Sample size:

n(S) = 2

If each ball is treated as a separate outcome, we may label them:

S = {G1, G2, G3, G4, G5, R1, R2, R3, R4, R5, R6, R7}

Sample size:

n(S) = 12

Answer:

For colour outcomes, S = {Green, Red}.
For individual ball outcomes, S = {G1, G2, G3, G4, G5, R1, R2, R3, R4, R5, R6, R7}.

Class 9 Maths Chapter 7 Exercise 7.3 Solutions for Events in Probability

An event is a particular outcome or group of outcomes chosen from the sample space. In Question 3, the event is selecting Samosa as a snack, so all combinations with Samosa must be listed.

Q3. In a village fair, there are 3 popular snacks available: Samosa, Pakora, and Bhaji. For drinks, villagers can choose either Chai or Lassi.

Q3(i). List the sample space of all possible snack and drink combinations a person could choose at the fair.

The sample space has 6 combinations because there are 3 snacks and 2 drinks.

Snacks:

Samosa, Pakora, Bhaji

Drinks:

Chai, Lassi

Sample space:

S = {(Samosa, Chai), (Samosa, Lassi), (Pakora, Chai), (Pakora, Lassi), (Bhaji, Chai), (Bhaji, Lassi)}

Sample size:

n(S) = 6

Answer:

S = {(Samosa, Chai), (Samosa, Lassi), (Pakora, Chai), (Pakora, Lassi), (Bhaji, Chai), (Bhaji, Lassi)}

Q3(ii). List the event ‘Selecting Samosa as a snack.’

The event has all outcomes where the snack is Samosa.

Event:

E = {(Samosa, Chai), (Samosa, Lassi)}

Number of outcomes in the event:

n(E) = 2

Answer:

E = {(Samosa, Chai), (Samosa, Lassi)}

The Mathematics of Maybe Introduction to Probability Class 9: Concepts Used in Exercise 7.3

Exercise 7.3 uses the language of probability before probability fractions are calculated. The focus is on writing S correctly and selecting events from S.

Sample Space Class 9

Sample space is the list of all possible outcomes of a random experiment.

Copy-friendly result:

S = {all possible outcomes}

Example:

For one die roll:

S = {1, 2, 3, 4, 5, 6}

Sample Size Class 9

Sample size is the number of elements in the sample space.

Copy-friendly result:

n(S) = number of outcomes in S

Example:

S = {1, 2, 3, 4, 5, 6}

n(S) = 6

Events in Probability Class 9

An event is a selected outcome or group of outcomes from a sample space.

Copy-friendly result:

E ⊆ S

Example:

For rolling a die, the event “getting a number greater than 4” is:

E = {5, 6}

Rolling Die and Tossing Coin Sample Space

A combined experiment lists each die outcome with each coin outcome.

Copy-friendly result:

Total outcomes = 6 × 2

Total outcomes = 12

Sample space:

S = {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}

Random Integer Sample Space

For choosing a random integer between -5 and +5, list every integer in order.

Copy-friendly result:

S = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

n(S) = 11

Snack and Drink Combinations

For two-choice groups, pair every item in the first group with every item in the second group.

Copy-friendly result:

Total combinations = number of snacks × number of drinks

Total combinations = 3 × 2

Total combinations = 6

Class 9 Maths Probability Solutions: How to Write Sample Space Correctly

Sample space answers should be complete, clear and free from repeated outcomes. The easiest method is to list outcomes systematically.

Step 1: Identify the Experiment

Find what random action is being performed.

Examples:

Rolling a die

Tossing a coin

Choosing a ball

Selecting a snack and drink

Step 2: List All Possible Outcomes

Write every possible result once.

Example:

For a coin:

S = {H, T}

For a die:

S = {1, 2, 3, 4, 5, 6}

Step 3: Use Ordered Pairs for Combined Experiments

When two actions happen together, write each outcome as a pair.

Example:

(die result, coin result)

So:

(1, H), (1, T), and so on.

Step 4: Write the Event as a Subset

Choose only the outcomes that match the event condition.

Example:

Event “Selecting Samosa as a snack”:

E = {(Samosa, Chai), (Samosa, Lassi)}

Quick Concept Table for Class 9 Maths Ganita Manjari Chapter 7 Exercise 7.3 Solutions

NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 7