
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
To gather constructive opinions from parents about the modern education reform experiment implemented in Shida Affiliated High School, the school decided to use stratified sampling. They plan to select a total of $6$ people from the parent committees of the three grades for a discussion. It is known that the parent committees of Grade 10, Grade 11, and Grade 12 have $54$, $18$, and $36$ people, respectively.

$(1)$ Determine the number of parents that should be selected from each grade's parent committee.
$(2)$ If $3$ people are randomly selected from the already chosen $6$ people to join the reform task force, what is the probability that at least one of these $3$ people is a parent from Grade 12?

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