
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
A digital o-Player stores and plays entire songs. Maria has 12 songs stored on her o-Player. The songs are of different lengths. When the songs are ordered by length, the shortest song lasts 40 seconds and each subsequent song is 40 seconds longer than the previous song. Maria's favorite song is 4 minutes and 40 seconds long. The o-Player will play all the songs in random order before repeating any song. What is the probability that Maria hears the first 5 minutes and 40 seconds of music - without pauses between songs - without hearing her favorite song completely? Express your answer as a common fraction.

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