
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 the following game. Each starts with $1. A bell rings every 15 seconds, at which time each of the players who currently have money can either choose, with a probability of 3/4, one of the other two players independently and at random to give $1, or decide not to give any money with a probability of 1/4. The game ends when the bell rings 50 times. What is the probability that after the bell has rung 50 times, each player will have $1?
A) 0.005
B) 0.025
C) 0.04
D) 0.1
E) 0.2

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