
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 $10cm$, a point $C$ is randomly chosen. Now, a rectangle is formed, with the lengths of adjacent sides equal to the lengths of $AC$ and $CB$, respectively. Calculate the probability that the area of this rectangle is not less than $9cm^{2}$.

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