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A life insurance salesman operates on the premise that the probability that a man reaching his sixtieth birthday will not live to his sixty-first birthday

A life insurance salesman operates on the premise that the probability that a man reaching his sixtieth birthday will not live to his sixty-first birthday is0.05. On visiting a holiday resort for seniors, he sells88policies to men approaching their sixtieth birthdays. Each policy comes into effect on the birthday of the insured, and pays a fixed sum on death. All88policies can be assumed to be mutually independent. Provide answers to the following to 3 decimal places.

What is the probability that at least two policies will pay out before the insured parties have reached age 61?

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