
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
\( A \) and \( B \) are playing a game with two dice. If an odd number is rolled, \( A \) receives a number of forints from \( B \) equal to the roll. If an even number is rolled, \( B \) receives a number of forints from \( A \) equal to the roll, except if the roll is 2, in which case no one pays. Who has the advantage in this game, and what is the expected gain for that player after 36 rolls?

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