
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 $4$ white balls and $2$ black balls in a bag. Two balls are drawn from the bag without replacement.

1. Find the probability that both balls are white.
2. Find the probability that one ball is white and the other is black.

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