
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 red balls and 2 white balls of the same size in a bag,
(1) If a ball is drawn consecutively without replacement from the bag, find the probability that the third ball drawn is white.
(2) If balls are drawn consecutively with replacement from the bag, find the probability that red balls are drawn no more than 4 times in 6 draws.

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