
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 a die twice, let the number of the first roll be $a$, and the number of the second roll be $b$. Consider two lines $l_1: ax+by=2$ and $l_2: x+2y=2$. Let the probability that $l_1$ and $l_2$ are parallel be $p_1$, and the probability that they intersect be $p_2$. What is the positional relationship between point $P(p_1, p_2)$ and line $l_2: x+2y=2$?

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