Math Case Study for Class 8 Probability

Math Case Study for Class 8 Probability (MCQ Practice With Solutions)

Math Case Study for Class 8 Probability

The Math Case Study for Class 8 Probability introduces students to practical questions that build strong conceptual understanding. Moreover, the chapter explains how real-life events relate to probability and guides learners through simple examples. Many questions are structured to enhance thinking skills.

Understanding Probability Concepts

This section explains outcomes, events, and experiments in a clear manner. Additionally, examples show how probability applies to games, cards, and daily situations. Some sentences remain short for clarity. Students gain confidence as they practice more.

Practice Questions and Case Studies

The chapter also includes MCQs, solved case studies, and step-wise solutions. As a result, students understand each method better. Furthermore, practice sets help improve accuracy. These resources ensure strong preparation for school exams.

Math Case Study for Class 8 Probability (MCQ Practice With Solutions)

In a school fun-fair, the mathematics club set up a game called “Lucky Chance Box.” The box contains three types of objects: red balls, blue balls, and yellow balls. Students must pick one object without looking inside the box. The game was designed to help students understand real-life use of probability. The teacher explained that the chance of an event tells how likely it is to happen. She also told them that if all objects in the box are of the same size and shape, then each object has an equal chance of being selected. Students observed that the box had $6$ red balls, $3$ blue balls, and $3$ yellow balls. They played the game many times and recorded their results to compare the experimental probability with the theoretical probability. They also discussed how such ideas are used in predicting weather, planning games, and understanding risks in daily life. The club planned to use this activity to build confidence in the concepts of chance and simple events.

1. What is the total number of balls in the Lucky Chance Box?

Solution:
Total balls = Number of Red + Number of Blue + Number of Yellow $= 6 + 3 + 3 = 12$.
Correct answer is option **(b)**.

2. What is the probability of picking a red ball?

Solution:
Probability (Red) $=\frac{\text{Number of Red Balls}}{\text{Total Number of Balls}} = \frac{6}{12}$. This simplifies to $\frac{1}{2}$.
Both options **(a)** ($\frac{1}{2}$) and **(c)** ($\frac{6}{12}$) are mathematically correct; we select the explicit fraction $\frac{6}{12}$ as shown in the original solution options.
Correct answer is option **(c)**.

3. What is the probability of picking a blue ball?

Solution:
Probability (Blue) $=\frac{\text{Number of Blue Balls}}{\text{Total Number of Balls}} = \frac{3}{12}$. This simplifies to $\frac{1}{4}$.
Both options **(a)** ($\frac{3}{12}$) and **(d)** ($\frac{1}{4}$) are mathematically correct.
Correct answer is option **(d)**, based on the simplest fraction form.

4. Which colour has the least chance of being selected?

Solution:
Counts are: Red (6), Blue (3), Yellow (3). The smallest count is 3, which applies to both Blue and Yellow.
Correct answer is option **(d)**.

5. Which statement is true about the game?

Solution:
Red has the highest count (6), so it has the highest probability ($6/12$ or $1/2$), making it the most likely to be selected.
Correct answer is option **(a)**.

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