
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
Buses. At the stop near Absent-minded Scientist's house, two bus routes stop: No. 152 and No. 251. Both go to the metro station. The interval between buses No. 152 is exactly 5 minutes, and the interval between buses No. 251 is exactly 7 minutes. The intervals are strictly followed, but the schedules of these two routes are not coordinated and are independent of each other. At a completely random moment, the Scientist arrives at the stop and gets on the first bus that comes to reach the metro. What is the probability that the Scientist will board bus No. 251?

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