
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
Six students with distinct heights take a group photo, the photographer arranges them into two rows with three people each. What is the probability that every student in the back row is taller than the students in the front row?

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