
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
A school holds a speech contest with 10 participants: 3 from Class 1, 2 from Class 2, and 5 from other classes. The speaking order is determined by drawing lots. Calculate the probability that all 3 students from Class 1 are consecutively scheduled (i.e., their speaking slots are adjacent), and the 2 students from Class 2 are not consecutively scheduled.

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