
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
A pocket contains 1 white ball and 3 black balls, each with different numbers, other than color, they are identical. You draw 2 balls from the pocket. Find:

(1) The total number of basic events, and list all basic events;

(2) The number of basic events included in the event "drawing 2 black balls";

(3) The probability of drawing 2 black balls.

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