
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
Diana rolls a standard six-sided die, and simultaneously, Apollo rolls two identical six-sided dice. What is the probability that Diana's single die roll results in a higher number than the maximum of Apollo's two rolls?
A) $\frac{85}{216}$
B) $\frac{95}{216}$
C) $\frac{100}{216}$
D) $\frac{110}{216}$

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