
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
Sue has a bag with 10 green marbles and 5 blue marbles. She randomly selects a marble, records its color, and then puts it back in the bag. She repeats this process until she has drawn 10 marbles. What is the probability that exactly 6 of the marbles drawn are green? Express your answer as a decimal rounded to the nearest thousandth.

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