
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
Celeste has an o-Pod that can store 12 songs, where the length of each song is different. In the ordered list according to the duration, the shortest song is 45 seconds long, and each subsequent song is 45 seconds longer than the previous. Her favorite song is 5 minutes long. The o-Pod has a shuffle feature that allows the songs to be randomized but ensures all songs play once before any song repeats. What is the probability that Celeste hears the first 6 minutes of music in one go without hearing every second of her favorite song? Express your answer as a common fraction.

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