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Probability Dice Game

Fifth Grade Probability & Statistics Activities: Probability Dice Game

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5th Grade Math Games

This probability dice game is a great way to cover and build on the basics of probability math. The different combinations dice offer are the perfect grounds for many probability questions, such as, “How likely is it that the total of two rolled dice will be six?” or "What is the probability the three-side will come up on both dice?"

Here’s a quick game that can help your kid grasp the difference between rolling Snake Eyes and Lucky Number Seven!

What You Need:

  • A pair of dice, two different colors (for example, red and blue)
  • A piece of paper
  • Some M&M’s or another little treat

What You Do:

Total to Roll
Ways to Get the Total
Probability of that Roll
2
1
1 /36
3
 
   / 36
4
 
   / 36 
5
 
   / 36 
6
 
   / 36 
7
6
6 /36 = 1/6
8
 
   / 36 
9
 
   / 36 
10
 
   / 36 
11
 
   / 36 
12
 
   / 36 
  
 
 
Total to Roll
Ways to Get the Total
Probability of that Roll
2
1
 1 / 36
3
2
 2 / 36 = 1/18
4
3
 3 / 36 = 1/12
5
4
 4 / 36 = 1/9
6
5
 5 / 36
7
6
 6 / 36 = 1/6
8
5
 5 / 36
9
4
 4 / 36 = 1/9
10
3
 3 / 36 = 1/12
11
2
 2  / 36 = 1/18
12
1
 1 / 36
 
  1. Tell your child that you’re going to learn all about dice and probability.
  2. Ask him how many different ways there are to roll 2 dice. Remind him that there are 6 options on both sides. Together, you can determine that there are 6 x 6 = 36 possible rolls.
  3. Ask him how many ways there are to roll a total of “2” using two dice. After thinking, he should conclude that there’s only one way: 1 + 1
  4. Ask him how many ways there are to roll a total of “7.” He should come up with 6 combinations: 1 + 6, 6 + 1, 2 + 5, 5 + 2, 3 + 4, 4 + 3.
  5. Time to figure out all of the rolls. Have him fill out the last two columns of the following chart. He has already figured out “2” and “7,” and he can do the rest the same way.
  6. When he’s done, the chart should look like this:
  7. Here’s a dice challenge for him. First, tell him the roll you want him to try and get. Then, give him two opportunities to win a reward (like a small piece of candy.) He can win an award if he rolls what you asked him to get. And, he can win another award for guessing the correct probability of rolling what you’ve asked of him. Good luck!
    • Roll a total of “9”                     (1/9)
    • Roll a total of “11”                    (1/18)
    • Roll a total of 8”                       (5/36)  
    • Roll a total of “12”                    (1/36)
    • Roll a total of “5”                      (1/9)
    • Roll a “7” or an “11”  (6/36 + 2/36 = 8/36 = 2/9)
    • Roll a “2” or “6”                      (1/36 + 5/36 = 6/36 = 1/6 )
    • Roll a “2” or a “6” or a “7” or an “11” (1/36 + 5/36 + 6/36 + 2/36 = 14/36 = 7/18)

You can also make up your own as you go.

Updated on Jul 23, 2013
Printable Workbooks from Education.com
Find a printable workbook to go along with this fun activity. See Workbooks
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