
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
Joana has 12 songs stored on her MP3 player, each with a unique length. The songs are ordered by their lengths; the shortest is 40 seconds long, and each subsequent song is 20 seconds longer than the previous one. Joana's favorite song lasts 4 minutes. Her MP3 player plays all songs in a random order before repeating any song. What is the probability that she hears the first 5 minutes of music, without any pauses between songs, without hearing every second of her favorite song?

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