
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 die. Diana's die has 8 sides, numbered from 1 to 8, while Apollo's die has 6 sides, numbered from 1 to 6. What is the probability that Diana rolls a number larger than Apollo, given that Apollo’s number is even?
A) $\frac{1}{3}$
B) $\frac{1}{4}$
C) $\frac{1}{2}$
D) $\frac{3}{4}$

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