
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 bag, there are \( b \) white balls and \( c \) black balls. To decide who will walk the dog - Alyosha or Boris, two balls are randomly selected; if they are of the same color, Alyosha walks the dog, if they are of different colors, Boris walks the dog. For which \( b \) and \( c \) will the random selection be fair?

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