
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
In a box containing black and white balls, which are identical except for color, there are 2 black balls and 3 white balls.
(I) When taking out two balls from the box at the same time, find the probability that both balls are of the same color;
(II) If one ball is taken out from the box, then put back before taking out another one, find the probability that the two balls are of different colors.

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