
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
When a biased coin is flipped four times, the probability of getting heads exactly once equals the probability of getting heads exactly twice. Find the probability, in simplest fraction form, that the coin comes up heads in exactly 3 out of 4 flips.

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