
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
The English alphabet, which has 26 letters, is randomly permuted. Let \( p_1 \) be the probability that "AB", "CD", and "EF" all appear as contiguous substrings. Let \( p_2 \) be the probability that "ABC" and "DEF" both appear as contiguous substrings. Compute \(\frac{p_1}{p_2}\).

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