Question: Consider 8 distinguishable playing cards, namely the 4 distinguishable Aces and the 4 distinguishable Kings. This set of 8 cards is distributed uniformly at random

Consider 8 distinguishable playing cards, namely the 4 distinguishable Aces and the 4 distinguishable Kings. This set of 8 cards is distributed uniformly at random among 4 distinguishable players, called a, b, c, d such that each player gets exactly two cards. Let A be the random variable that returns the number of Kings that player a gets

(a) Calculate the probability Pr[A = 1] (b) Compute E[A]. (c) Calculate Var[A]. Remember to describe the probability space and to justify your answers.

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