
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
Player A and Player B are playing a game with 4 poker cards (which are the 2 of Hearts, 3 of Hearts, 4 of Hearts, and 4 of Diamonds). They shuffle the cards and place them face down on the table. Player A draws first, followed by Player B, each drawing one card without replacement.  
(1) List all the possible outcomes of the cards drawn by Player A and Player B.  
(2) If Player A draws the 3 of Hearts, what is the probability that the card drawn by Player B has a number greater than 3?  
(3) Player A and Player B agree that if the number on the card drawn by Player A is greater than the number on the card drawn by Player B, then Player A wins; otherwise, Player B wins. Do you think this game is fair? Why?

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