
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 $100 and makes 4 bets. The person wins twice and loses twice, with the wins and losses occurring in random order. The chance for a win is equal to the chance for a loss. For the first two bets, each wager is for one-third of the money remaining at the time of the bet. For the last two bets, each wager is for two-thirds of the money remaining at the time of the bet. What is the final amount of money after all bets?
A) $19.75$
B) $50$
C) $75$
D) $25$

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