
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
In a race with six runners, runner \(A\) finished between \(B\) and \(C\), \(B\) finished between \(C\) and \(D\), and \(D\) finished between \(E\) and \(F\). If each sequence of winners in the race is equally likely to occur, what is the probability that \(F\) placed last?

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