
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
Hannah has 6 green marbles and 4 purple marbles. She chooses a marble at random, writes down its color, and then places it back. She repeats this process 8 times. What is the probability that she picks exactly 3 green marbles?

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