Mia takes her driving test.

The probability that she passes first time is `<sup>1</sup>/<sub>4</sub>`.

If she fails the first time, she gets the opportunity to retake the test.

The probability that she passes the test on any subsequent attempt is `<sup>2</sup>/<sub>3</sub>`.

`P(text(Passes on nth attempt))=<sup>1</sup>/<sub>2</sub>xx(<sup>1</sup>/<sub>3</sub>)^(n-2)` where `nge<sup>3</sup>`.

Calculate the probability that Mia passes on the `4^(text(th))` attempt.