The chances of three independent events X, Y, Z occurring are \(\frac{1}{2}\), \(\frac{2}{3}\), \(\frac{1}{4}\) respectively. What are the chances of Y and Z only occurring?

The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle?

Evaluate \(\log_{b} a^{n}\) if \(b = a^{\frac{1}{n}}\).