
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
Two people, A and B, agree to meet at a certain location within 10 days. They agree that the person who arrives first will wait for the other person, but only for 3 days before leaving. Assuming that their arrivals at the destination are equally likely to occur within the given period, what is the probability that the two will meet?

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