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That says that if you have independent probabilities,
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then the probability of two events
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is equal to the product of their probabilities.
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So, the Prob(A and B)= Prob(A)*Prob(B).
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That wouldn't hold if they're not independent.
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The theory of insurance is that ideally an insurance company
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wants to insure independent events.
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Ideally, life insurance is insuring people--
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or fire insurance is insuring people--
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against independent events,
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so it's not the fire of London.
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It's the problem that sometimes