
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 4 red balls and 2 white balls of the same size.  
(1) If one ball is drawn from the bag successively without replacement, calculate the probability of drawing a white ball on the third draw.  
(2) If the balls are drawn from the bag with replacement, and the number of times a red ball is drawn in 6 draws is denoted as $\xi$, calculate $P(\xi \leq 4)$.

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