
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
Given Aria, Bella, and Clara each will randomly be assigned a whole number from $1$ to $15$, inclusive, with no two of them getting the same number, calculate the probability that Aria's number will be a whole number multiple of Bella's and Bella's number will be a whole number multiple of Clara's.

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