
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 set $A=\{-2, 0, 1, 3\}$, in the Cartesian coordinate system, the coordinates of point $M$ $(x, y)$ satisfy $x \in A$, $y \in A$.  
(Ⅰ) Please list all the coordinates of point $M$;  
(Ⅱ) Calculate the probability that point $M$ is not on the y-axis;  
(Ⅲ) Calculate the probability that point $M$ exactly falls in the region defined by $$\begin{cases} \left.\begin{matrix}x+y-5＜0 \\ x＞0 \\ y＞0\end{matrix}\right.\end{cases}$$.

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