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[:1 COUNTING AND PROBABILITY Probabilities of a permutation and a combination V There are 3 acts in a talent show. A comedian, a dancer, a

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[:1 COUNTING AND PROBABILITY Probabilities of a permutation and a combination V There are 3 acts in a talent show. A comedian, a dancer, a guitarist, a juggler, a magician, a pianist, a violinist, and a whistler. A talent show host randomly schedules the 8 acts. Compute the probability of each of the following events. Event A: The rst four acts are the violinist, the pianist, the guitarist, and the whistler, in any order. Event B: The pianist is first, the juggler is second, the dancer is third, and the guitarist is fourth. Write your answers as fractions in simplest form

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