Dice combinations IV

Dice combinations IV

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about all the possible outcomes of dice throws.
illustration: two dice
a)
There are 36 different combinations of numbers possible on the top faces of the two dice.
Complete this chart, giving all the possible combinations when two dice are thrown.
 
Value on
First Dice		 Value on
Second Dice
1 1
1 2
1 3
1  
1  
1  
2  
2  
2  
2  
2  
2  
Value on
First Dice		 Value on
Second Dice
3  
3  
3  
3  
3  
3  
4  
4  
4  
4  
4  
4  
Value on
First Dice		 Value on
Second Dice
5  
5  
5  
5  
5  
5  
6  
6  
6  
6  
6  
6  
 
b) Using the table, list all the combinations that add up to 7.

 

 

 

 
 
c)		  
List all the combinations that add up to 9.

 

 
 
 
 
d)
Aamir needs to throw a total of 7 or 9 with the two dice to win a board game he is playing.
 
What is the probability that he wins on his next turn? __________
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Statistics, Probability
Keywords: 
combinations, probability
Description of task: 
Students complete a chart showing the possible combinations of numbers from two dice throws. They then list all combinations that add up to seven and nine.
Curriculum Links: 
This resource can be used to help to identify students' understanding of finding all possible outcomes.
 
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Interpreting statistical and chance situations, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y10 (07/1998)
a)
NOTE: Other orders of the second dice are possible.		 very easy
b) 1, 6
2, 5
3, 4
4, 3
5, 2
6, 1
NOTE: 0 marks if any repeated or wrong options given.		 very easy
c) 3, 6
4, 5
5, 4
6, 3
NOTE: 0 marks if any repeated or wrong options given.		 easy
d) 10/36 or 5/28 or 0.28 moderate