
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
Roll two dice in succession, let $a$ and $b$ represent the numbers obtained from rolling dice A and B, respectively.  
(Ⅰ) If the point $(a, b)$ falls within the region defined by a system of inequalities, and this event is denoted as A, calculate the probability of event A;  
(Ⅱ) If the point $(a, b)$ falls on the line $x + y = m$, and this event's probability is maximized, find the value of $m$.

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