
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 random walk is a process in which something moves from point to point, and where the direction of movement at each step is randomly chosen. Suppose that a person conducts a random walk on a line: he starts at  $0$  and each minute randomly moves either  $1$  unit in the positive direction or  $1$  unit in the negative direction. What is his expected distance from the origin after  $6$  moves?

*2017 CCA Math Bonanza Lightning Round #3.4*

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