Printable math worksheet guiding students through a hands-on dice rolling experiment to explore probability concepts.

This task is a probability experiment called a "Dice Roll Investigation." Since it involves rolling a physical die, there is no single "correct" answer key. The answers depend on what actually happens when you roll the dice.

However, I can explain exactly how to complete the worksheet and what results you should expect based on math rules.

Step-by-Step Guide to Solving the Worksheet

Part 1: Rolling the Die 12 Times
1. Get a die: You need one standard 6-sided die (with numbers 1 through 6).
2. Roll and Record: Roll the die 12 times. Every time you roll a number, put a tally mark in the box for that number.
* *Example:* If you roll a 4, put a tally in the "4" row.
3. Count the Tallies: After 12 rolls, count how many tally marks are in each row. Write that total number in the "Number" column (or just keep the tallies if that's what your teacher wants).

Part 2: Answering the Questions
* "Was your prediction correct?"
* Look at the question before the table (it asks you to predict which number will come up most). Did that number actually get the most tally marks?
* *Note:* In a small experiment like 12 rolls, it is very common for your prediction to be wrong. That is normal!
* "If you were to compare this sheet with the results of a friend..."
* Your results will likely be different. Because dice rolls are random, two people rarely get the exact same pattern in just 12 rolls.

Part 3: Prediction for 12 Rolls
* The worksheet asks for a prediction for the next 12 rolls.
* Best Strategy: You can guess that the numbers will be spread out evenly (about 2 of each number), or you might guess that a specific "lucky" number will appear again. There is no wrong answer here, as long as you write down a guess.

Part 4: The Big Picture (Math Concept)
* Fair Dice: A standard die is "fair," meaning every number (1–6) has an equal chance of landing face up.
* Expected Result: If you rolled the die 600 times, you would expect each number to appear about 100 times.
* Small Sample: With only 12 rolls, the results are "noisy." You might roll three 6s and zero 1s. This doesn't mean the die is broken; it just means you haven't rolled it enough times for the patterns to even out yet.

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Final Answer

Since this is a hands-on experiment, you must perform the rolls yourself to fill in the table. However, here is how to finalize your homework:

1. Fill in the Table: Use actual tally marks from 12 real dice rolls.
2. Prediction Question: Write "No" or "Yes" depending on if your initial guess matched your highest tally. (It is okay if it says "No").
3. Comparison Question: Write: "Our results would probably be different because dice rolls are random."
4. Final Prediction: Pick any number between 1 and 6 and write it down as your guess for the most frequent number in the next set of rolls.