
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
In a modified version of the game, each of 5 players, including Hugo, rolls a standard 8-sided die. Hugo wins only if he rolls the highest number and this number is greater than 4. If there is a tie for the highest roll or if the highest number is 4 or less, those involved in the tie will roll again. What is the probability that Hugo's first roll was a 6, given that he won the game?
A) $\frac{625}{4096}$
B) $\frac{625}{921}$
C) $\frac{921}{625}$
D) $\frac{921}{4096}$

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