
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
Ludwig has 100 fair coins. He flips all the coins. Any coin that lands on tails is flipped again up to three more times (total of four flips possible for each coin). What is the expected number of coins that show heads after the series of flips?
A) 87.5
B) 91.25
C) 93.75
D) 95.5

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