
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
Consider two dice, referred to as Die A and Die B, which are rolled one after the other. Let \(a\) and \(b\) represent the outcomes of Die A and Die B, respectively. Determine the value of \(m\) for which the probability that the point \(P(a,b)\) lies on the line \(x+y=m\) (where \(m\) is a constant) is maximized.

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