1.3. Sample Space (S)

Try these first

1. 1.

   What is a sample space?

   Hint

   Think of all the results you can get from a coin toss.

2. 2.

   Give an example of a finite sample space.

   Hint

   Count the number of sides on a die.

3. 3.

   What does the sample space represent in a random experiment?

   • All possible outcomes
   • Only favorable outcomes
   • None of the outcomes

   Hint

   Think about what encompasses every result from an experiment.

4. 4.

   True or False: A sample space can be infinite.

   • True
   • False

   Hint

   Reflect on how some experiments can yield countless outcomes.

5. 5.

   If an experiment involves drawing a card from a standard deck, what is the sample space, and how many outcomes does it have?

   Hint

   Consider all the unique cards available in a standard deck.

6. 6.

   Consider an experiment where two fair six-sided dice are rolled. Calculate the total number of outcomes in the sample space.

   Hint

   Think about how each combination of the two dice contributes to the total.