
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
A number $p$ is randomly selected from the set $\{12, 14, 16, 18, 20\}$, and a number $q$ is randomly selected from $\{2005, 2006, \ldots, 2024\}$. Determine the probability that $p^q$ ends in a units digit of $6$.

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