
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
Anya, Borya, and Vasya decided to go to the "Christmas Tree" event. They agreed to meet at the bus stop, but they do not know what time each person will arrive. Each of them may arrive at any random moment between 15:00 and 16:00. Vasya is the most patient of them all: if he arrives and neither Anya nor Borya is there, he will wait for one of them for 15 minutes, and if no one arrives, he will go to the "Christmas Tree" alone. Borya is less patient: he will wait only for 10 minutes. Anya is the least patient: she will not wait at all. However, if Borya and Vasya meet, they will wait for Anya until 16:00. What is the probability that they will all go to the "Christmas Tree" together?

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