
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 positive integer $n$ not exceeding $120$ is chosen such that if $n\le 60$, then the probability of choosing $n$ is $q$, and if $n > 60$, then the probability of choosing $n$ is $4q$. Find the probability that a number divisible by 5 is chosen.
A) $\frac{1}{10}$
B) $\frac{1}{8}$
C) $\frac{1}{6}$
D) $\frac{1}{5}$
E) $\frac{1}{4}$

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