
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
Consider a larger set $\{3, 7, 14, 18, 21, 27, 35, 42, 48, 54, 63 \}$. If two distinct members of this set are randomly selected and multiplied, what is the probability that the product is a multiple of 126? Express your answer as a common fraction.

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