
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Suppose there is an octahedral die with the numbers 1, 2, 3, 4, 5, 6, 7, and 8 written on its eight faces. Each time the die is rolled, the chance of any of these numbers appearing is the same. If the die is rolled three times, and the numbers appearing on the top face are recorded in sequence, let the largest number be represented by $m$ and the smallest by $n$.
(1) Let $t = m - n$, find the range of values for $t$;
(2) Find the probability that $t = 3$.

Present the answer in LaTex format: \boxed{Your answer}
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