
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
As is well known, Robinson Crusoe's friend and companion was named Friday because they met on a Friday. This event occurred in January, but the exact year is uncertain. Robinson is sure, however, that it could have happened with equal probability in any year from 1668 to 1671. Robinson and Friday devoutly celebrated the day of their meeting and commemorated it every year. What day of the week could the day of the eleventh anniversary of their meeting fall on? With what probability?

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