
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 is a basket with 10 discs, 5 of which are unmarked, and the others have the numbers 1, 2, 3, 4, and 5 marked on them. We draw a disc three times in succession, each time returning the drawn disc back to the basket before the next draw. What is the probability that the sum of the numbers on the 3 drawn discs is 10? What is the probability if the drawn disc is not put back?

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