
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 function $f\left( x \right)={x}^{2}+ax-b\ln x$.
(I) When $a=0,b=1$, find the extreme points of the function $f\left( x \right)$;
(II) If $a\in \left\{-6,-5,-4,-3\right\}$ and $b\in \left\{-2,-3,-4\right\}$, find the probability that the function $f\left( x \right)$ has both a maximum and a minimum value.

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