
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
A person starts with $128 and plans to make 7 bets, with each bet being for half of the existing cash. The person wins four times and loses three times, with wins and losses occurring randomly. Each win doubles the amount bet, while each loss halves the current amount. What is the final cash amount?
A) $64
B) $72
C) $81
D) $96
E) $128

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