
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
Let $T$ be the set of positive integer divisors of $18^5$. Three numbers $b_1, b_2, b_3$ are independently and randomly chosen from set $T$ and labeled in the order they are chosen. Find the probability that $b_1$ divides $b_2$ and $b_2$ divides $b_3$.

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