
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 $120 and places 8 bets. In these bets, they win four times and lose four times. Wins and losses occur randomly, and the probability of winning any given bet equals the probability of losing. Each bet is worth one-third of the money available at the time. If they win, their money multiplies by 3/2, otherwise, if they lose, it multiplies by 2/3. Calculate the final amount of money the person has after all bets.

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