2.2. Sample Space and Events

Try these first

1. 1.

   Define a random experiment and give an example.

   Hint

   Think of an experiment you can perform.

2. 2.

   What is the sample space for rolling a die?

   Hint

   Consider the possible faces on the die.

3. 3.

   What is the definition of a sample space?

   • A single outcome
   • The set of all possible outcomes
   • An impossible event

   Hint

   Think about all the results your experiment can produce.

4. 4.

   True or False: A sure event cannot occur.

   • True
   • False

   Hint

   Consider the nature of certain outcomes in experiments.

5. 5.

   A card is drawn from a standard deck of 52 cards. Define the sample space and calculate the probability of drawing a heart, a face card, and both.

   Hint

   Total outcomes for each event and use fractions for your answers.

6. 6.

   Two dice are rolled. Define the sample space and derive the probability for rolling a sum of 8.

   Hint

   List the possible pairs for the required sum and count them.