
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
Given an exponential function $f(x) = a^x$ (where $a > 0$ and $a \neq 1$) whose graph passes through point $P(2, 4)$, find the probability that a randomly chosen real number $x$ in the interval $(0, 10]$ yields $f(x) > 16$.

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