
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 bag contains $4$ identical small balls, of which there is $1$ red ball, $2$ white balls, and $1$ black ball. Balls are drawn from the bag with replacement, randomly taking one each time.

(1) Find the probability of drawing a white ball two consecutive times;

(2) If drawing a red ball scores $2$ points, drawing a white ball scores $1$ point, and drawing a black ball scores $0$ points, find the probability that the sum of the scores from three consecutive draws is $4$ points.

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