
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
Three friends, Amy, Lily, and Eve, are playing a game where:
- Amy wins $\frac{2}{5}$ of the time,
- Lily wins $\frac{1}{5}$ of the time,
- Eve wins $\frac{1}{10}$ of the time,
What fraction of the time do they end up in a draw?

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