
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
Xiaobo determines his weekend activity through a game. He randomly throws a point into a unit circle. If the distance from this point to the center of the circle is greater than $\frac{1}{2}$, he will go to the movies on the weekend; if this point is less than $\frac{1}{4}$ from the center of the circle, he will play basketball; otherwise, he will stay at home and read (.). Therefore, the probability that Xiaobo will not stay at home and read on the weekend is _____.

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