
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 that Alex wins each round is $\frac{3}{7}$ and Mel is three times as likely to win as Chelsea, find the probability that Alex wins four rounds, Mel wins two rounds, and Chelsea wins one round.

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