
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
Tom, Dick, Harry, and Sally are playing a game. Starting at the same time, each of them flips a fair coin repeatedly until he or she gets a head, at which point they stop. What is the probability that all four players flip their coins the same number of times and it is under 3 flips?
A) $\frac{1}{32}$
B) $\frac{1}{128}$
C) $\frac{17}{256}$
D) $\frac{1}{16}$

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