
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
In a class of 40 students, each student is paired randomly with another student for a project. If the pairing is done randomly, but 5 of the students (including Margo and Irma) have a list of 3 classmates each they prefer not to be paired with, what is the probability that Margo is paired with her best friend Irma, assuming Irma is not on Margo's list?

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