
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
Let $T$ be the set of permutations of the sequence $1, 2, 3, 4, 5, 6$ where the first term is not $1$. A permutation is chosen randomly from $T$. What is the probability, in lowest terms, that the second term is $3$?
A) $\frac{1}{5}$  
B) $\frac{1}{6}$  
C) $\frac{4}{25}$  
D) $\frac{1}{25}$  
E) $\frac{1}{30}$

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