Question: (2 points each.) Alice and Bob each flip a fair coin twice. Let X be the maximum and let Y be the minimum of the

(2 points each.) Alice and Bob each flip a fair coin twice. Let X be the maximum and let Y be the minimum of the number of heads obtained. a) Describe space S of this random experiment. b) Find the probabilities for all values of (X,Y ). c) Find P(X = Y). Problem 2- (2 points each.) Alice and Bob each flip a fair coin twice. Let X be the difference (absolute value) and let Y be the sum of the number of heads obtained. a) Describe space S of this random experiment. b) Find the probabilities for all values of (X,Y ). c) Find P(X +Y =1)andP(X +Y =2)

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