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Sun Life Insurance company issues standard, preferred and ultra-preferred policies. Among the company's policy holders of a certain age,5050are standard with the probability of 0.01 dying in the next year,3030are preferred with a probability of 0.008 of dying in the next year and2020are ultra-preferred with a probability of 0.007 of dying in the next year. If a policy holder of that age dies in the next year, what is the probability of the decreased being a preferred policy holder?
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