
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
Assume every 7-digit whole number is a possible telephone number except those that begin with $0$, $1$, or $2$. What fraction of telephone numbers begin with $8$ and end with $2$?
A) $\frac{1}{100}$
B) $\frac{1}{80}$
C) $\frac{1}{70}$
D) $\frac{1}{63}$
E) $\frac{1}{90}$

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