
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 Truncator is in a soccer league with five other teams, each of which it plays twice. In any of its 10 matches, the probabilities that Club Truncator will win, lose, or tie are $\frac {1}{4}$, $\frac {1}{4}$, and $\frac {1}{2}$ respectively. Calculate the probability that Club Truncator will finish the season with an equal number of wins and losses.

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