No, you underestimate that. Being prepared is increasing your chances. There's one thing to be lucky as "1 in a billion" chance, and there's another to be lucky as "1 in 100"; the odds are always stacked against you, but with preparation & many attempts, your odds start looking better, and "luck" starts happening. (or not; some people are indeed unlucky, despite doing everything right. But that's less common than the other extreme - people that get lucky despite not doing anything rights).
Do you consider death to be giving up or getting lucky? Or had you just not considered that some people try very hard until the day they die without getting lucky?