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Mathematics, 26.02.2020 02:54 pharadorvil04
Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in drawer j with probability pj>0. The drawers are so messy that even if she correctly guesses that the term paper is in drawer i, the probability that she finds it is only di. Alice searches in a particular drawer, say drawer i, but the search is unsuccessful. Conditioned on this event, show that the probability that her paper is in drawer j, is given by
pj/(1−pidi) if j not equals to i
pi(1−di)/(1−pjdi) ifj=i.
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