This worksheet is an experiment for you to do with a real die (dice). Because rolling a die gives random results, there is no single "correct" answer key. Every time you roll the dice, you will get different numbers.
However, I can show you
how to fill it out using a set of
example results. You can use these examples to understand what your own sheet should look like after you roll your own die.
Step-by-Step Example
Imagine we are rolling a standard 6-sided die. We want to see how many times each number (1 through 6) appears.
1. The "10 Rolls" Column
Let's say we rolled the die 10 times and got these numbers:
`1, 3, 5, 2, 1, 6, 4, 2, 3, 1`
Now we count them (tally them):
*
1 dot: appeared 3 times
*
2 dots: appeared 2 times
*
3 dots: appeared 2 times
*
4 dots: appeared 1 time
*
5 dots: appeared 1 time
*
6 dots: appeared 1 time
*(Check: 3+2+2+1+1+1 = 10 rolls total)*
2. The "20 Rolls" Column
For this column, you usually keep going from where you left off. So, you would roll the die 10 *more* times and add those new counts to the previous ones.
Let's say the next 10 rolls were:
`6, 6, 2, 4, 5, 1, 3, 2, 5, 4`
We add these to our previous counts:
*
1 dot: was 3, plus 1 more =
4
*
2 dots: was 2, plus 2 more =
4
*
3 dots: was 2, plus 1 more =
3
*
4 dots: was 1, plus 2 more =
3
*
5 dots: was 1, plus 2 more =
3
*
6 dots: was 1, plus 2 more =
3
*(Check: 4+4+3+3+3+3 = 20 rolls total)*
3. The "30 Rolls" and "40 Rolls" Columns
You continue this pattern. Roll the die 10 more times for the 30-column, and 10 more times for the 40-column, adding the new tallies to the total each time.
***
Important Note on Probability
As you roll more times (going from 10 to 40), you might notice that the numbers start to look more even. For example, in 40 rolls, you might expect each number to appear roughly 6 or 7 times. This is called probability!
Final Answer
Since this is a hands-on activity, you must roll your own die to get your specific answer. However, here is a
completed example table showing what your data might look like after 40 rolls. You can use this as a guide for how to write your numbers.
| Dice Face | 10 rolls | 20 rolls | 30 rolls | 40 rolls |
| :--- | :---: | :---: | :---: | :---: |
|
1 Dot | 3 | 4 | 5 | 7 |
|
2 Dots | 2 | 4 | 6 | 7 |
|
3 Dots | 2 | 3 | 5 | 6 |
|
4 Dots | 1 | 3 | 4 | 6 |
|
5 Dots | 1 | 3 | 5 | 7 |
|
6 Dots | 1 | 3 | 5 | 7 |
|
TOTAL |
10 |
20 |
30 |
40 |
*(Note: In your actual homework, replace the numbers above with the counts from your own dice rolls!)*
Parent Tip: Review the logic above to help your child master the concept of probability with dice worksheet.
