
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
Let a number \(m\) be randomly selected from the set \{12, 14, 16, 18, 20\}, and a number \(n\) be randomly selected from \{2005, 2006, ..., 2024\}. What is the probability that \(m^n\) has a units digit of 6?
A) \(\frac{1}{10}\)
B) \(\frac{1}{5}\)
C) \(\frac{3}{20}\)
D) \(\frac{1}{4}\)
E) \(\frac{2}{5}\)

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