3.1.4. Limitations

Try these first

1. 1.

   What is the Classical Definition of Probability?

   Hint

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

2. 2.

   List one limitation of the Classical Definition.

   Hint

   Consider games where there are endless possibilities.

3. 3.

   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.

4. 4.

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

   • True
   • False

   Hint

   Consider systems with various outcomes.

5. 5.

   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.

6. 6.

   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.