
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 rectangle $OABC$ has its four vertices coordinated as $O(0,0), A(\frac{\pi}{2},0), B(\frac{\pi}{2},1), C(0,1)$. The region $\Omega$ is enclosed by the line segments $OA$, $OC$, and the graph of $y=\cos x (0 < x \leq \frac{\pi}{2})$. If a point $M$ is randomly chosen within the rectangle $OABC$, the probability that point $M$ falls within the region $\Omega$ is _______.

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