
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 3 white balls numbered $1$, $2$, $3$ and 3 black balls numbered $4$, $5$, $6$. These six balls are identical in all aspects except for their number and color. Two balls are randomly drawn from this set.
(1) Find the probability that the two drawn balls are of the same color.
(2) Find the probability that the two drawn balls are of different colors.

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