
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
Juan, Carlos, Ana, and Manu take turns flipping a coin in their respective order. The first one to flip heads wins. What is the probability that Manu will win if Manu needs to flip two consecutive heads to win? Express your answer as a common fraction.

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