
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 game, Sara, Peter, and Linda take turns flipping a coin. For Sara to win, she must flip two consecutive heads. The order they flip the coin is Sara, Peter, Linda, and then it repeats. The first one to meet their winning condition wins. What is the probability that Linda wins?

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