
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 each with a function defined on the domain \\( R \\): \\( f_{1}(x)=x \\), \\( f_{2}(x)=|x| \\), \\( f_{3}(x)=\sin x \\), \\( f_{4}(x)=\cos x \\). Now, two cards are randomly selected from the box, and the functions written on the cards are multiplied together to form a new function. The probability that the resulting function is an odd function is __________.

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