
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
Raashan, Sylvia, and Ted play a game where each starts with $1. A bell rings every 30 seconds, at which time each player with money chooses one of the other two players at random and gives $1 to them. What is the probability that after the bell has rung 3 times, each player will have $1?
A) $\frac{1}{8}$
B) $\frac{1}{4}$
C) $\frac{1}{3}$
D) $\frac{3}{8}$
E) $\frac{1}{2}$

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