
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
Given that 60 students from schools $A$, $B$, and $C$ participate in an interview, with 10 students from school $A$, 20 students from school $B$, and 30 students from school $C$. During the interview process, one student is randomly selected from those who have not yet been interviewed, and after the interview is completed, the next student is chosen. Find the probability that all students from school $A$ finish their interviews before any students from schools $B$ and $C$.

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