
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
Andrea flips a fair coin repeatedly, continuing until she either flips two heads in a row (the sequence \(H H\)) or flips tails followed by heads (the sequence \(T H\)). What is the probability that she will stop after flipping \(H H\)?

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