
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 \( Q(x, y) \) is randomly thrown into a square with vertices at points \( O(0,0) \), \( K(0,1) \), \( L(1,1) \), and \( M(1,0) \). Find the probability that the coordinates of this point satisfy the inequality \( y > \frac{1}{2} x \).

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