
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 8 distinct red balls and 7 distinct white balls.

\\((1)\\) How many different ways are there to pick one ball?

\\((2)\\) How many different ways are there to pick two balls of different colors?

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