
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 square $CDEF$ with a side length of $2$.
(1) Choose a point $P$ on the edge of the square $CDEF$, denote event $A$ as "$CP < 1$", calculate the probability of event $A$.
(2) Choose a point $Q$ inside the square $CDEF$, denote event $B$ as "$\angle CQD$ is an obtuse angle", calculate the probability of event $B$.

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