
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 $1$ white ball, $2$ red balls, and $3$ black balls in bag A; and $2$ white balls, $3$ red balls, and $1$ black ball in bag B. All the balls are identical except for their colors. Now, take one ball from each bag.
(I) Find all possible outcomes;
(II) Calculate the probability that the colors of the two balls are the same.

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