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Communicates Understanding
Lesson 28		 Organize, Represent, and Express
  Objectives/Vocab/Tips > Example: 1 | 2 | 3 > Practice: 1 | 2 | 3 > Reflection

Practice 1:

You have two pairs of number cubes. One pair is called Sickerman cubes. These cubes are different from regular number cubes. One Sickerman cube has the numbers 1,3,4,5, 6, and 8 on the sides and the other Sickerman cube has the numbers 1,2, 2, 3, 3, and 4 on the sides. The second pair is a pair of regular number cubes with the numbers 1, 2, 3, 4, 5, and 6 on the sides of each cube. Compare the probability of getting a sum of 7 for the two pairs of number cubes.

  • Are the probabilities equal?
  • Explain why or why not.
  • Write a brief paragraph explaining how you solved the problem and how the visual displays support your solutions.
The first step to finding the answer to this problem would be to find the probability of getting a sum of 7 if the two Sickerman cubes are rolled and the two numbers are added. How would you make a visual display showing your answer to this first part of this problem? Write your response in the box below.

The second step to finding the answer to this problem would be to find the probability of getting a sum of 7 if the two regular numbered cubes are rolled and the two numbers are added. How would you make a visual display showing your answer to this second part of the problem? Write your response in the box below. Use the previous step as a hint what to do next.

Now you are able to compare the two pairs of numbered cubes. Are the probabilities equal? Explain your answer using words, numbers, and/or pictures.

 

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