Practice Limitations - 3.1.4 | 3. Classical and Axiomatic Definitions of Probability | Mathematics - iii (Differential Calculus) - Vol 3
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Limitations

3.1.4 - Limitations

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Practice Questions

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Question 1 Easy

What is the Classical Definition of Probability?

💡 Hint: Think about how many outcomes are in a simple game like flipping a coin.

Question 2 Easy

List one limitation of the Classical Definition.

💡 Hint: Consider games where there are endless possibilities.

4 more questions available

Interactive Quizzes

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Question 1

Which of the following is a limitation of the Classical Definition of Probability?

Can handle infinite sample spaces
Cannot be used if outcomes are not equally likely
Applies to complex real-world scenarios

💡 Hint: Think about fairness in dice.

Question 2

True or False: The Classical Definition is suitable for all scenarios in engineering.

True
False

💡 Hint: Consider systems with various outcomes.

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Challenge Problems

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Challenge 1 Hard

You are presented with an experiment involving flipping a coin infinitely. Discuss the challenges in predicting outcomes using Classical Probability.

💡 Hint: Reflect on the nature of games repeated infinitely.

Challenge 2 Hard

In a system where component A fails 1 out of 10 times and component B fails 1 out of 5 times, explain why Classical Probability is unsuitable.

💡 Hint: Think of different machines and their failure experiences across time.

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