
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 following functions:
1. $y=x+ \frac {1}{x}$
2. $y=x^{2}+x$
3. $y=2^{|x|}$
4. $y=x^{ \frac {2}{3}}$
5. $y=\tan x$
6. $y=\sin (\arccos x)$
7. $y=\lg (x+ \sqrt {x^{2}+4})-\lg 2.$

From these $7$ functions, if two functions are randomly selected, what is the probability that one is an odd function and the other is an even function?

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