
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
Two fair six-sided dice are thrown consecutively. The number obtained from the first throw is denoted as $x$, and the number obtained from the second throw is denoted as $y$. The coordinates of point $P$ are $(x,y)$.

1. Find the probability that point $P$ lies on the line $y=x$.
2. Find the probability that point $P$ lies outside the circle $x^2 + y^2 = 25$.

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