
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
In an experiment of throwing 2 dice, let the coordinate of point P be represented by $(x, y)$, where $x$ is the number shown on the first die, and $y$ is the number shown on the second die.
- (I) Find the probability that point P lies on the line $y = x$.
- (II) Find the probability that point P satisfies $x + y \geq 10$.

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