
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 two people are throwing n fair coins.X and Y are the times they get heads. If throwing coins are mutually independent events,
(1)When n=5, what is the possibility of X=Y?
(2)When n=6, what is the possibility of X=Y+1?

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