O COUNTING AND PROBABILITY Probabilities of a permutation and a combination There are 10 acts in a talent show. An acrobat, a comedian, a dancer, a guitarist, a juggler, a magician, a pianist, a singer, a violinist, and a whistler. A talent show host randomly schedules the 10 acts. Compute the probability of each of the following events. Event A: The whistler is first, the guitarist is second, and the juggler is third. Event B: The first three acts are the comedian, the violinist, and the guitarist, in any order. Write your answers as fractions in simplest form. P (A) = 1 X 5 ? P (B) =