This is a tough question because both options look pretty good. My recommendation would be to answer depending on the position you are applying for. For example, if you are applying for a type of analyst or upper management position, then anticipating a problem would be more useful. However, if you are applying to be a nurse for a hospital emergency room, then reacting to a problem well is stronger.
The answer gets stronger with examples, so if you have experienced something that you can explain, feel free to use include it in the answer. Also, if you are unsure about how to say it, remember that you can ask us.
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