Class 9 Probability Case Study Questions

Class 9 Probability Case Study Questions

Case Study Questions on Probability for Class 9

Practicing case study questions on probability for class 9 helps students understand the application of probability in real-life contexts. These include coins, dice, and cards. Moreover, online practice improves speed and accuracy. In addition, solving Probability Case Study Questions builds exam confidence. Therefore, attempting free online tests ensures proper revision.

CBSE Class 9 Probability Case Study

The CBSE Class 9 Probability Case Study section includes application-based examples and practice worksheets. Furthermore, learners can access Probability Case Study Problems for Class 9 from NCERT resources and CBSE sample papers. Short quizzes help students test their preparation effectively.

Probability Case Study Questions

Alongside probability, Case Study Questions for Class 9 remain vital. Both Class 9 Case Study Questions and Statistics Case Study Problems for Class 9 enhance logical reasoning. Additionally, combining probability practice leads to better performance.

Case Study 2: Probability

Probability – Case Study 2

Case Study:
A class of Grade 9 students explores probability using a bag experiment. The bag contains 5 red balls, 3 blue balls, and 2 green balls. Each student draws one ball at random, notes the color, and returns the ball to the bag before the next draw (sampling with replacement). The teacher asks the students to perform 200 independent trials, record frequencies, and compare the experimental frequencies with theoretical probabilities. Students are required to discuss the meaning and scope of probability in this context, distinguish experimental (empirical) probability from theoretical probability, and solve single-event problems such as probability of drawing a specified color or its complement. They also analyze how sampling with replacement preserves the sample space for each trial and how experimental relative frequencies approach theoretical values as the number of trials grows.

Bag Contents:
5 red balls, 3 blue balls, 2 green balls
Total balls: 10

MCQ Questions

1. What is the theoretical probability of drawing a blue ball in a single draw?

Answer: (b) 3/10

Solution: Total balls = 5 + 3 + 2 = 10. Favorable for blue = 3. So P(blue) = 3/10.

2. If in 200 trials students observed blue 58 times, what is the experimental (empirical) probability of drawing blue?

Answer: (a) 0.29

Solution: Experimental probability = 58/200 = 0.29.

3. What is the theoretical probability of drawing a red or green ball in a single draw?

Answer: (a) 7/10

Solution: Favorable outcomes = 5 (red) + 2 (green) = 7. Total = 10. Thus P(red or green) = 7/10.

4. If a student claims that probability of not drawing red is 3/5, is the student correct?

Answer: (b) No, correct value is 1/2.

Solution: Theoretical P(red) = 5/10 = 1/2. Complement P(not red) = 1 – 1/2 = 1/2. The student’s claim 3/5 is incorrect.

5. Suppose students perform 200 trials and get red 102 times. Which statement is true about the comparison of experimental and theoretical probability for red?

Answer: (b) Experimental is greater than theoretical.

Solution: Theoretical P(red) = 1/2 = 0.5. Experimental = 102/200 = 0.51. Since 0.51 > 0.5, experimental is greater than theoretical.

Quiz Results

Correct Answers: 0

Incorrect Answers: 0

Percentage Score: 0%

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