
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
An integer between $2000$ and $8000$, divisible by $5$, is chosen at random. What is the probability that it is a prime number whose digits are all distinct?
A) $\frac{1}{1201}$
B) $\frac{5}{1201}$
C) $\frac{10}{1201}$
D) $\frac{15}{1201}$

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