
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 10 songs stored on her o-Pod with the shortest being 40 seconds and each subsequent song being 40 seconds longer than the previous one. The songs are ordered by their length. Her favorite song is 4 minutes long. The o-Pod plays all the songs in a random order before repeating any song. Determine the probability that in the first 5 minutes of music—played without any pauses—Celeste does not hear her favorite song in its entirety. Express your answer as a common fraction.

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