
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 a certain school, there is a speech competition with 10 students participating. Three of them are from Class 1, two from Class 2, and the rest from other classes. If the speaking order is determined by drawing lots, the probability that exactly the three students from Class 1 are placed consecutively (meaning their speaking numbers are contiguous) and the two students from Class 2 are not placed together is:

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