
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 point $P$ is randomly placed inside a right triangle $XYZ$ where $\angle X = 90^\circ$, $XY = 6$ units, and $XZ = 8$ units. What is the probability that the area of triangle $PYZ$ is less than one third of the area of triangle $XYZ$?

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