This chapter distinguishes, in a preliminary way, among different views on the role of luck in ascriptions of blameworthiness. First, there is the ‘Strict Liability Account’, which makes agents blameworthy if and only if their acts cause harm. Second, and in stark contrast, there is the ‘Anti-Luck Account’, which holds that any lucky differences between agents should be neutralized: any lucky differences between them should make no difference to how much agents are blamed. Third, there is the ‘Restricted Luck-Sensitive Account’, which appears to blend elements of these other views. The Restricted Account agrees with the Anti-Luck Account that agents are not eligible for blameworthiness unless they act either maliciously, or negligently, or recklessly. This is the ‘Internal Claim’. But the Restricted Account also contends that agents who have qualified for blameworthiness by satisfying the Internal Claim may then be blameworthy to different degrees, depending on how their acts turn out, even if the differences between them at this stage reflect luck. This is the ‘External Claim’. (The other chapters in Part I of the book will build up a case for the Restricted Account and against the Anti-Luck Account.) This chapter also searches for the fundamental constituents of the Anti-Luck Account, and identifies key roles for the ‘Irrelevance Intuition’ and ‘Fairness Intuition’, and for comparative luck. Finally, it takes issue with anti-luckist ‘accommodation strategies’, which attempt to explain away our habits of assigning different amounts of blameworthiness to agents who seem to be separated only by luck.