James is a DJ at local radio station. One day, James offers a cash prize to the first caller who correctly answers a rather difficult trivia question. James’ assistant screens and records all incoming calls, and lets James know when the first call with the correct answer has been received; only then does James air the recording of the caller responding correctly. The probability that a randomly selected caller will correctly answer the trivia question is 0.1. What is the probability that the third caller is the first to correctly answers the question?

0.01

0.0729

0.081

0.09

0.9