
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 the functions: 1) $y=x^3+3x^2$; 2) $y=\frac{e^x+e^{-x}}{2}$; 3) $y=\log_2 \left(\frac{3-x}{3+x}\right)$; and 4) $y=x\sin x$, select any two functions and determine the probability that these two functions have the same parity (odd or even).

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