
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
Xiao Li and Xiao Ming are playing a game using two fair cubes, labeled A and B. Each face of the cube is numbered from 1 to 6. The number x showing on cube A thrown by Xiao Li, and the number y showing on cube B thrown by Xiao Ming, are used to determine point P(x, y). What is the probability that point P(x, y) falls on the given parabola $y = -x^2 + 4x$ after each of them throws their cube once?

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