
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 a number $m$ is randomly selected from the set $\{7, 9, 12, 18, 21\}$, and a number $n$ is randomly selected from $\{2005, 2006, 2007, \ldots, 2025\}$. Calculate the probability that the last digit of $m^n$ is $6$.

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