
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 and Apollo each roll a ten-sided die, numbered from 1 to 10. What is the probability that Diana’s number is strictly larger than Apollo’s number?
A) \(\dfrac{9}{20}\)
B) \(\dfrac{1}{2}\)
C) \(\dfrac{5}{12}\)
D) \(\dfrac{4}{9}\)
E) \(\dfrac{11}{20}\)

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