
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
Anna, Borya, and Vasya decided to go to the "Yolka" event. They agreed to meet at the bus stop but do not know exactly when each will arrive. Each of them can arrive at a random time between 15:00 and 16:00.

Vasya is the most patient of them all: if he arrives and neither Anna nor Borya is at the bus stop, he will wait for someone for 15 minutes, and if no one arrives, he will go to the "Yolka" alone. Borya is less patient: he will wait only 10 minutes. Anna is the most impatient: she will not wait at all. However, if Borya and Vasya meet, they will wait for Anna until 16:00.

What is the probability that they will all go to the "Yolka" together?

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