
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
In a box, there are 4 cards of the same size and shape, labeled 1, 2, 3, and 4. A card is randomly drawn from the box, its label $m$ is recorded, and then the card is put back into the box; next, a card is drawn again and its label $n$ is recorded. Find the probability that the graph of the power function $f(x)=(m-n)^{2}x^{m/n}$ is symmetric about the y-axis.

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