
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 year $y$ is randomly selected from $\{2001, 2002, \ldots, 2020\}$. What is the probability that $p^y$ has a units digit of $6$?
A) $\frac{1}{5}$
B) $\frac{3}{20}$
C) $\frac{1}{10}$
D) $\frac{1}{4}$
E) $\frac{2}{5}$

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