
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
Given that the probability of getting heads in a single flip is \(\frac{1}{3}\), and that four individuals flip coins until they get their first head and stop, calculate the probability that all four individuals flip their coins the same number of times.

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