
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 sets $M = \{1,2,3,4\}$ and $N = \{(a,b) \mid a \in M, b \in M\}$, let point $A$ be any point in set $N$ and $O$ be the origin of the coordinate system. Determine the probability that the line $OA$ intersects with the curve $y=x^2+1$.

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