
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
Ella has $50$ fair coins. She flips all the coins. Any coin that lands on tails is tossed again, up to four times in total for each coin. What is the expected number of coins that show heads after up to four tosses?
A) 45
B) 46
C) 47
D) 48
E) 49

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