
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 Anchuria, a national standardized exam is held. The probability of guessing the correct answer to each question on the exam is 0.25. In 2011, to receive a certificate, a student needed to correctly answer three out of 20 questions. 

In 2012, the School Administration of Anchuria decided that three questions were too few. Now, a student needs to correctly answer six out of 40 questions in order to receive a certificate. If one knows nothing and simply guesses the answers, in which year is the probability of receiving an Anchurian certificate higher - in 2011 or in 2012?

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