
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
If there is a bag containing 6 red balls and 4 white balls, and one ball is drawn from the bag, (1) remembering the color, then placing it back, and drawing a ball 4 times in a row, the probability of drawing a red ball exactly on the fourth draw is _______, (2) remembering the color but not replacing it, and drawing a ball 4 times in a row, the probability of drawing a red ball exactly on the fourth draw is _______.

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