
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
[4] Let  $D$  be the set of divisors of  $100$ . Let  $Z$  be the set of integers between  $1$  and  $100$ , inclusive. Mark chooses an element  $d$  of  $D$  and an element  $z$  of  $Z$  uniformly at random. What is the probability that  $d$  divides  $z$ ?

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