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there are 8 acts in a talent show. a comedian, a dancer, a guitarist, a juggler, a magician, a pianist, a singer, and a violinist. a talent show host randomly schedules the acts. compute the probability of each of the following events. event a: the magician is first, the violinist is second, and the juggler is third. event b: the first three acts are the dancer, the comedian, and the singer, in any order. write your answers as fractions in simplest form.

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