
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
Club Voyager is in a soccer league with five other teams, each of which it plays once. In any of its 5 matches, the probabilities that Club Voyager will win, lose, or tie are $\frac{1}{2}$ for winning or losing and $\frac{1}{6}$ for tying. Calculate the probability that Club Voyager will finish the season with more wins than losses. Express your answer as a fraction $p/q$, where $p$ and $q$ are relatively prime positive integers. Find $p+q$.

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