
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
Every day you go to the music practice rooms at a random time between  $12\text{AM}$  and  $8\text{AM}$  and practice for  $3$  hours, while your friend goes at a random time from  $5\text{AM}$  to  $11\text{AM}$  and practices for  $1$  hour (the block of practice time need not be contained in he given time range for the arrival). What is the probability that you and your meet on at least  $2$  days in a given span of  $5$  days?

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