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Every morning, Mr. Smith, the head manager of a 24-hour restaurant, clocks in to find one unclean table that is the fault of Johnny, Karla,
Every morning, Mr. Smith, the head manager of a 24-hour restaurant, clocks in to find one unclean table that is the fault of Johnny, Karla, Jeannie, or Queen. The probabilities that one is the one responsible are, respectively, 16%, 14%, 20%, and 50%. If it is Johnny's fault, there is a 90% chance the manager will fire Johnny. For Karla, Jeannie, and Queen, the probabilities are 91%, 94%, and 93%. What is the probability that on any given day, Mr. Smith fired one crew member
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