
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 a "xie tian" with bases of 10 "bu" and 20 "bu" and a height of 10 "bu," and a "gui tian" with a base of 8 "bu" and a height of 5 "bu," calculate the probability that a randomly planted tea tree is precisely planted inside the "gui tian".

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