The deductible decision is about probability
Insurance is risk transfer: you pay a premium so the insurer absorbs unpredictable losses. A higher deductible means you keep more of the small risks yourself, in exchange for a lower premium. The right deductible depends on how often you actually file claims and how much spare cash you have to absorb a loss without disruption. Most people overinsure — they choose low deductibles for psychological comfort even when the math says they'd be better off with a higher deductible and the saved premium going to an emergency fund.