
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
There are 5 small balls in a bag, all of the same quality and size, numbered 1, 2, 3, 4, 5. Two players, A and B, play a game. Player A first draws a ball, records the number, puts it back, and then draws another ball. If the sum of the two numbers is even, A wins; otherwise, B wins.
1. Find the probability that A wins and the sum of the two numbers is 6.
2. Is this game rule fair? Please explain your answer.

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