
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
In 2012, the School Administration of Anchuria decided that three questions were too few. Now, you need to correctly answer six questions out of 40. The question is, if you know nothing and simply guess the answers, in which year is the probability of obtaining an Anchurian diploma higher - in 2011 or in 2012?

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