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I have 6 inspectors in my department. If more than two are absent, I will not have enough manpower to complete the daily final inspection

I have 6 inspectors in my department. If more than two are absent, I will not have enough manpower to complete the daily final inspection requirements. Their absent days average 5 days per year (240 workdays) at a constant absent rate.What is the probability that I will make all daily shipments next year? (M of N reliability problem).

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