
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 is a bag with 100 red and 100 blue balls. Balls are drawn one by one, randomly and without replacement, until all 100 red balls have been drawn. Determine the expected number of balls remaining in the bag.

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