This chapter introduces the concept of hybrid problems—complex, evolving challenges that blend technical, social, and organizational dimensions and resist simple classification. Serving as the opening to Part II, it explains why leaders must develop the ability to both frame and reframe problems as their structure and meaning shift over time. The chapter presents the Hybrid Diagnostic Cube, a conceptual tool built on the three dimensions of familiarity, complexity, and wickedness to diagnose and compare problem types. Eight representative hybrid problem types are illustrated with real-world examples from national security, business, and healthcare, ranging from Novel–Wicked–Complex crises to Familiar–Simple routines. These types reveal that problems evolve differently depending on whether their difficulty arises from uncertainty (novelty) or inertia (familiarity). The chapter also reinforces problem movement, the process by which problems transition across hybrid types, requiring leaders to adapt collaboration strategies. By linking hybrid problem types to the “Who Leads in the Human-AI Dance” framework, it shows how to align human judgment and AI capabilities as problem characteristics change. Ultimately, the chapter reframes problem-solving as an adaptive practice, one that depends on understanding not just what kind of problem exists, but why it is difficult and how it is likely to evolve.