
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
A basket contains four blue marbles, six yellow marbles, and seven black marbles. If three marbles are drawn from the basket without replacement, what is the probability that one of the marbles drawn is blue and two are black?

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