
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 line segment $AB$ with a length of $10$cm, arbitrarily choose a point $C$ on it. Construct a rectangle with adjacent side lengths equal to the lengths of line segments $AC$ and $CB$, respectively. The probability that the area of this rectangle is not less than $9$cm$^{2}$ is _______.

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