2.1.2. Sample Space (S)

Try these first

1. 1.

   What is the sample space for rolling a 6-sided die?

   Hint

   Think of the numbers that can appear on the die.

2. 2.

   List the sample space for tossing two coins.

   Hint

   Consider all combinations of heads and tails.

3. 3.

   What is the sample space when tossing a coin?

   • {H
   • T}
   • {1
   • 2
   • 3
   • 4
   • 5
   • 6}
   • Infinite

   Hint

   Think about the two sides of a coin.

4. 4.

   True or False: A continuous sample space can be counted.

   • True
   • False

   Hint

   Consider how you might measure something instead of counting it.

5. 5.

   Suppose you have a game where you can roll two dice. Calculate the total number of possible outcomes and define the sample space.

   Hint

   Consider all combinations of outcomes from each die.

6. 6.

   In a continuous sample space defined by the interval [0, 10], if an event represents choosing a point greater than 4, describe the event in terms of its sample space.

   Hint

   Think of how to express the interval for your event within the defined space.