Math Case Study for Class 8 Probability With Answers

Math Case Study for Class 8 Probability With Answers (Online Practice Test)

Math Case Study for Class 8 Probability With Answers

The Math Case Study for Class 8 Probability With Answers helps students understand concepts through solved examples and practical questions. Moreover, it explains outcomes and events using simple language. Some sentences are short for clarity. Students can easily relate probability to real-life activities, which makes learning more interesting.

Understanding Solved Probability Examples

This section offers step-by-step solutions that guide learners through each method. Additionally, solved examples improve their analytical skills. The explanations are structured well. Students gain confidence through repeated practice and clear reasoning.

Practice Questions and Answer Keys

The chapter also includes MCQs, case-based questions, and detailed answer keys. As a result, students can self-check their work. Furthermore, the practice sets support exam preparation effectively. These resources make revision simpler and more organized.

Math Case Study for Class 8 Probability With Answers (Online Practice Test)

A class project wanted to learn how **probability** helps in simple **weather models**. The teacher gave each group one **fair six-sided die**. They decided to map each face of the die to a weather type: **1 = Sunny, 2 = Cloudy, 3 = Rainy, 4 = Stormy, 5 = Snow, 6 = Fog**. The students were told that a fair die gives each face an **equal chance**. Each group rolled the die many times and wrote down the weather result for each roll. They planned to compare the theoretical probability with the experimental (observed) frequency. The teacher asked them to think about questions such as: what is the chance of seeing Rainy on one roll, what is the chance of getting either Sunny or Cloudy, and how many Rainy outcomes should they expect if they roll the die many times. The activity helped students connect the idea of equally likely simple events to real life. They also discussed how weather forecasters use many trials and data to estimate chances, and how knowing the expected number of events helps in planning.

1. How many possible simple outcomes are there on a single roll of the die in this project?

Solution:
A standard die has six faces. Thus there are 6 possible outcomes: 1, 2, 3, 4, 5, 6.
Correct answer is option **(b)**.

2. What is the theoretical probability of getting Rainy on a single roll?

Solution:
Rainy corresponds to only one face (3). Probability $P(\text{Rainy}) = \frac{\text{Favorable Outcomes}}{\text{Total Outcomes}} = \frac{1}{6}$.
Correct answer is option **(c)**.

3. What is the probability of getting either Sunny or Cloudy on a single roll?

Solution:
Sunny = face 1. Cloudy = face 2. Total favorable outcomes = 2. Probability $P(\text{Sunny or Cloudy}) = \frac{2}{6} = \frac{1}{3}$.
Correct answer is option **(b)**.

4. What is the probability that the result is not Stormy on a single roll?

Solution:
Stormy is face 4 (1 outcome). Not Stormy means any of the other 5 faces (1, 2, 3, 5, 6). Probability $P(\text{Not Stormy}) = \frac{5}{6}$.
Correct answer is option **(b)**.

5. If a group rolls the die 120 times, how many Rainy outcomes should they expect on average?

Solution:
Expected number of outcomes $= \text{Number of Trials} \times P(\text{Event})$.
$E(\text{Rainy}) = 120 \times P(\text{Rainy}) = 120 \times \frac{1}{6} = 20$.
Correct answer is option **(b)**.

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