
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
There are 10 identical balls in a bag, except for color. Among them are 8 white balls and 2 red balls. Each time a ball is randomly drawn from the bag: if it is a white ball, it is placed back in the bag, if it is a red ball, it is not placed back in the bag. What is the probability that exactly all red balls are drawn by the 4th draw?

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