
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]


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In a certain card game played by four players, to determine who will start the game, they usually draw lots "until the first Ace." There are 32 cards in the deck, ranging from sevens to Aces. One of the players deals the cards openly in a clockwise manner (dealing to themselves last) until someone gets an Ace. This player will start the game.

a) (8th grade, 3 points) For each player, find the probability that they will get the first Ace.

b) (6th grade, 1 point) How can the rules be changed to make the draw fair?

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