
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
A student rolls a die twice in succession, recording the number facing up the first time as \(x\) and the second time as \(y\). In the Cartesian coordinate system \(xOy\), determine the probability that the point with coordinates \((x,y)\) lies on the line \(2x+y=8\).

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