
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
A bag contains 10 identical balls, 5 of which are marked with the number 0 and 5 are marked with the number 1. If 5 balls are drawn from the bag, what is the probability that the sum of the numbers on the 5 drawn balls is either less than 2 or greater than 3?

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