Some consumption opportunities are both indivisible and only valuable in particular tates of nature. The existence of such state-dependent indivisible consumption opportunities influences a persons risk attitudes. In general, people are not risk averse anymore even if utility from divisible consumption is concave. I propose a definition of insurance in the context of state-dependent preferences and investigate the different motives underlying insurance demand. The same reasons that rule out risk aversion turn out to be the basis of a desire to insure. This calls into question the standard approach that bases insurance demand on risk aversion with important implications for policy and research.