Which of the following terms describes a complex arrangement of hair that typically requires advanced technique?

The term that describes a complex arrangement of hair, which typically requires advanced technique, is an intricate updo. Intricate updos often involve multiple elements such as twisting, pinning, braiding, and incorporating various textures and decorative accessories. These styles are usually created for special occasions and require a higher level of skill to ensure that the design is both aesthetically pleasing and secure.

In contrast, a basic braid, simple ponytail, and classic bun are generally simpler styles that do not necessitate the same degree of technical skill or complexity. A basic braid involves straightforward weaving techniques, while a simple ponytail is primarily about gathering hair into a single position. The classic bun can also be achieved with more straightforward techniques, making it less complex than an intricate updo. Therefore, "intricate updo" distinctly fits the description of a complex hair arrangement requiring advanced techniques.