
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
Six fair coins are to be flipped. What is the probability that either all six will be heads, all six will be tails, five will be heads and one will be tails, or five will be tails and one will be heads? Express your answer as a common fraction.

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