3.2.2. Probability Space

Try these first

1. 1.

   Define 'sample space'. Give an example.

   Hint

   Think of what all possible results could be.

2. 2.

   What is an event in probability?

   Hint

   Remember, events can be one outcome or multiple outcomes.

3. 3.

   What component makes up a probability space?

   • Sample Space
   • Function
   • Events
   • Sample Space
   • Events
   • Probability Function
   • Only Events

   Hint

   Recall the definitions we've discussed.

4. 4.

   True or False: The total probability assigned to a sample space must be equal to 0.

   • True
   • False

   Hint

   Think about normalization.

5. 5.

   You roll two dice. Define the sample space and calculate the probability of rolling a sum of 7.

   Hint

   Consider the total combinations and how many yield a sum of 7.

6. 6.

   If a probability function assigns P({A}) = 0.25 and P({B}) = 0.75, what are the implications on normalization?

   Hint

   How do you check if probabilities total 1?