
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 bag contains 6 balls of the same shape and size, including 2 white balls, 2 red balls, and 2 yellow balls. If 2 balls are randomly drawn from the bag at once, calculate the probability of the following events:  
(1) Both balls are red.  
(2) Both balls are of the same color.  
(3) Exactly one of the balls is white.

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