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4. (3 points) Express your answers as simply as possible. In a certain experiment, a 5-letter word is formed by randomly arranging all the letters of the word POPPY. Let E be the event al that the word begins with the letter P, and F be the event that all 3 Ps are grouped together in the word (i.e. the word has 3 Ps in a row). (a) Find Pr[E] and Pr[ F]. (b) Are E and F independent events? (c) Find Pr[EF] and Pr[FE]. sou base