Lesson 2

In Try This 1 you listed all possible outcomes of the experiment. Listing all the possibilities is also known as determining the sample space.

 

Try This 2

1. Copy and complete the following sample space table to show all possible differences when rolling two dice. The first row and column of outcomes have been completed for you.
   
   

   |Difference|		Outcome of Die 1
   		1	2	3	4	5	6
   Outcome   of   Die 2	1	0	1	2	3	4	5
   	2	1
   	3	2
   	4	3
   	5	4
   	6	5

2. What is the total number of outcomes in the sample space table?
3. Using the sample space table, predict the probability of rolling a difference of 0, 1, 2, 3, 4, and 5.
4. Copy and summarize your findings in a table like the following. The frequency table probabilities are from Try This 1, and the sample space table probability is from Try This 2 question 1.
   
   

   Outcome	Frequency Table Probability (from Try This 1)	Sample Space Table Probability (from Try This 2 question 1)
   0
   1
   2
   3
   4
   5

5. Explain how the frequency table and the sample space table are similar.
6. Explain how the frequency table and the sample space table are different.
7. Do either of these methods of representation—frequency table or sample space table—better represent the probability of rolling a particular difference? Explain.

Save your work in your course folder.