
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
Eight balls, numbered 10, 11, 13, 14, 17, 19, 21, and 23, are placed in a hat. Each ball is equally likely to be chosen. If one ball is chosen, what is the probability that the sum of the digits of the number on the selected ball is a prime number?

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