5. Of the drivers who are insured by a certain insurance company and get into at least...

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5. Of the drivers who are insured by a certain insurance company and get into at least one accident during a random year, 15% are low-risk drivers, 35% are moderate-risk drivers, and 50% are high-risk drivers. Suppose that drivers insured by this company get into an accident independently of each other. If an actuary randomly chooses five drivers insured by this company, who got into an accident one or more times last year, what is the probability that there are at least two more high-risk drivers among them than the low-risk and moderate-risk drivers combined?

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