
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's o-Pod has 12 songs, each of different lengths. The shortest song is 45 seconds long, and each subsequent song is 15 seconds longer than the previous song. Her favorite song is 4 minutes long. If she plays all the songs in a random order, what is the probability that she hears the first 5 minutes of music - with no pauses between songs - 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