
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 an 8-sided die and Apollo rolls a standard 6-sided die, each obtaining a number at random from 1 to their respective maximum numbers. What is the probability that Diana's number is larger than Apollo's number?
A) $\dfrac{7}{48}$
B) $\dfrac{5}{12}$
C) $\dfrac{9}{16}$
D) $\dfrac{27}{36}$
E) $\dfrac{1}{2}$

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