
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 game, each of 5 players, including Hugo, rolls a standard 8-sided die. The player who rolls the highest number wins. If there is a tie for the highest roll, the tied players will roll again until a winner emerges. What is the probability that Hugo's first roll was a 7, given that he won the game?
A) \( \frac{102}{320} \)
B) \( \frac{100}{320} \)
C) \( \frac{101}{320} \)
D) \( \frac{103}{320} \)

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