
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 school starts classes at 8:00 am. Assuming that students Xiao Zhang and Xiao Wang arrive at school between 7:30 am and 7:50 am, and each of them is equally likely to arrive at any moment within this time interval, what is the probability that Xiao Zhang arrives at least 10 minutes earlier than Xiao Wang?

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