
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 the senior year of high school, the weights of 8 students are $90$, $100$, $110$, $120$, $140$, $150$, $150$, $160$ (unit: kg). Now, if 3 students are selected from them to participate in a tug-of-war, the probability that the student with the highest weight among the selected students is exactly the $70$th percentile of this data set is ____.

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