
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
The student walks from point $A$ to point $B$ on the streets shown in the diagram, and can only walk east or south. At each intersection, the student has an equal probability ($\frac{1}{2}$) of choosing to walk east or south (each choice is independent of others). Determine the probability that the student will walk through point $C$.

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