
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 4 balls of each of the four different colors in a bag, all of the same shape and size. Each color is numbered 1, 2, 3, and 4. If two balls are randomly drawn from the bag, and their colors are different, there are ___ ways to do this (answer with a number). Under the condition that the colors of the two balls are different, the maximum difference in their numbers can be achieved with a probability of ___.

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