3.1.2. Assumptions

Try these first

1. 1.

   List three outcomes of flipping an unbiased coin.

   Hint

   Consider the two sides of the coin.

2. 2.

   What does it mean for outcomes to be mutually exclusive?

   Hint

   Think about two events happening simultaneously.

3. 3.

   What is the Classical Definition of Probability based on?

   • Equally likely outcomes
   • Subjective judgment
   • Predictive modeling

   Hint

   Think about the foundational aspects of Classical Probability.

4. 4.

   True or False: The Classical Definition of Probability applies to infinite sample spaces.

   • True
   • False

   Hint

   Reflect on the counting of outcomes in sample spaces.

5. 5.

   Design an experiment with at least three mutually exclusive outcomes and explain whether the sample space is finite or infinite.

   Hint

   Think about a scenario where only one outcome can occur.

6. 6.

   Discuss the implications of using the Classical Definition of Probability when the outcomes are not equally likely. Provide an example to support your discussion.

   Hint

   What happens when probabilities vary across outcomes?