
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
Marcel has 12 songs stored on his n-Tune EVP (Epic Voice Player). The lengths of the songs increase by 30 seconds each, where the shortest song is 1 minute long. His favorite song is 5 minutes long. The EVP plays all the songs in a random order before repeating any song. What is the probability that Marcel listens to the first 6 minutes of music without hearing his favorite song in its entirety? No pauses between songs are allowed. Express your answer as a common fraction.

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