
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
In a bag, Sam has 9 blue marbles and 6 red marbles. He draws a marble at random, notes its color, returns it to the bag, and repeats the process until he has drawn 8 marbles. What is the probability that exactly five of the marbles he draws are blue? Express your answer as a decimal rounded to the nearest thousandth.

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