
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
Xiaoli and Xiaoming play a game together using two uniform cubes, A and B, with numbers 1, 2, 3, 4, 5, 6 marked on each face of the cubes. Let the number facing up on cube A thrown by Xiaoli be $x$, and the number facing up on cube B thrown by Xiaoming be $y$, to determine the point $P(x, y)$. What is the probability that the point $P(x, y)$ determined by their single throw each falls on the given parabola $y = -x^2 + 3x$?

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