
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
Alice, Bob, Carol, and Dave repeatedly take turns tossing a die in that order. Alice begins, followed by Bob, then Carol, and lastly Dave, after whom the sequence repeats starting with Alice again. Find the probability that Carol will be the first one to toss a six.

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