
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
Randomly select an element $m$ from the set $A=\{2,3\}$, and randomly select an element $n$ from the set $B=\{1,2,3\}$, to get the point $P(m,n)$. The probability that point $P$ is inside the circle $x^2+y^2=9$ is       .

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