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In Insurance, What Is the Role of Compound Probability?

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In Insurance, What Is the Role of Compound Probability?

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Compound probability plays a fundamental role in calculating insurance premiums, reserves and in defining corporate strategy. Compound probability is the probability that two independent events will occur simultaneously. It is the basis of probability distribution, which an actuary uses to evaluate insurable risks. In turn, risk estimations are used as guidelines when underwriters price policies and when corporate executive officers make decisions about new markets. Two events are considered to be independent if the outcome of one has no impact on the output of another. For instance, rolling a die twice results in two independent outcomes. Coming up with a five on the first roll does not make the second roll any more or less likely to be a three, for example. In insurance, many events are assumed to be independent, such as the paths of two separate hurricanes or the likelihood that two different subscribers will have a car accident. In order to calculate the compound probability of two

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