
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 autumn day, a Scattered Scientist glanced at his antique wall clock and saw three flies asleep on the dial. The first one was exactly at the 12 o'clock mark, and the other two were precisely at the 2 o'clock and 5 o'clock marks. The Scientist measured and determined that the hour hand posed no threat to the flies, but the minute hand would sweep them all away one by one. Find the probability that exactly two of the three flies will be swept away by the minute hand precisely 40 minutes after the Scientist noticed the flies.

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