Sure, let's go through this step by step.
### Step-by-Step Solution
1. Understand the Problem:
You are asked to simulate throwing a six-sided dice 36 times and then tabulate the results showing the frequency of each possible score (1 through 6).
2. Set the Number of Throws and Dice Sides:
- We will roll the dice 36 times.
- A standard dice has 6 sides.
3. Initialize Frequencies:
- We will keep track of how many times each side (score) appears in a list called `frequencies`.
- Initially, all frequencies are set to 0:
| Side | Frequency |
|------|-----------|
| 1 | 0 |
| 2 | 0 |
| 3 | 0 |
| 4 | 0 |
| 5 | 0 |
| 6 | 0 |
4. Simulate the Dice Throws:
- We'll simulate the rolling of the dice 36 times.
- After each roll, we'll update the corresponding frequency count.
5. Frequency Calculation Results:
- Imagine that after rolling the dice 36 times, we obtained the following frequencies:
| Side | Frequency |
|------|-----------|
| 1 | 4 |
| 2 | 8 |
| 3 | 7 |
| 4 | 8 |
| 5 | 4 |
| 6 | 5 |
6. Tabulate the Result:
- We will now organize the frequencies in the requested tabular format.
### Tabulation
The table below shows the frequencies of each score from 36 dice throws:
[tex]\[
\begin{array}{r|c|c|c|c|c|c}
\text{SCORE} & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
\text{Freq.} & 4 & 8 & 7 & 8 & 4 & 5 \\
\end{array}
\][/tex]
So, the final frequency distribution from 36 dice throws is:
- Score 1: 4 times
- Score 2: 8 times
- Score 3: 7 times
- Score 4: 8 times
- Score 5: 4 times
- Score 6: 5 times
This completes the tabulation of the dice throws as requested.
