What is the non-negative remainder that you get when you divide integer \(x\) by 3?

Sandeep posted the above question on Brilliant with a legitimate answer. Being naughty, he did not give away what the number \(x\) was. Keeping in mind that there are three tries available for answering a question on Brilliant and assuming that you answer optimally, what is the probability that you correctly answered Sandeep's question?

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