
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
Molly flips a fair coin nine times. She has flipped heads six times consecutively and then tails twice. What is the probability that she flips heads on her tenth flip? Express your answer as a common fraction.

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