
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
Three balls numbered 1, 2, and 3 are placed in a bag. A ball is drawn, the number recorded, and then the ball is returned. This process is repeated three times. Calculate the probability that the sum of the three recorded numbers is less than 8.

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