
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
One day in October, Nikita looked at the wall clock and saw that four flies had fallen asleep exactly on the numbers 12, 3, 6, and 9.

Find the probability that exactly 20 minutes after Nikita looked at the clock, two of the flies had already been swept away by the minute hand.

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