
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
Perform an experiment of throwing two dice. Use $(x,y)$ to represent the result, where $x$ represents the number of points on the first die, and $y$ represents the number of points on the second die.

1. Write out the basic events of the experiment.
2. Calculate the probability of the event "the sum of the points is greater than 8".

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