
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, there are 5 white balls and 3 red balls. Balls are drawn one at a time from this bag, the color is recorded, and then the ball is placed back into the bag. This process continues until a red ball has been drawn twice. Let $X$ be the number of draws required. Find the probability $P(X=3)$.

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