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an inefficient secretary places 5 different letters into 5 different addressed envolopes at random find the probability that atleast one of the letters will arrive proper destination
Hi
the probability that atleast one of the letter goes in the right envelope = 1- (probability that none of the letters go in the right envelope) now, total ways = 5! = 120 ways that none of the letters go in the right envelope = 4! = 24 probability that none of the letters go in the right envelope = 24/120 = 1/5 probability that atleast one of the letter goes in the right envelope = 1 - 1/5 = 4/5
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