
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
Kathy has 100 fair coins. She flips all of them simultaneously. Any coin that shows tails is flipped again, and those showing tails a second time are flipped a third time. Finally, coins which land on tails the third time are tossed once more. What is the expected number of coins showing heads after all these tosses?
A) 90
B) 91
C) 93
D) 94
E) 96

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