Question: Two balanced coins are flipped, independently. Let X = whether the first flip resulted in a head (yes, no), Y = whether the second flip

Two balanced coins are flipped, independently. Let X = whether the first flip resulted in a head (yes, no), Y = whether the second flip resulted in a head, and Z = whether both flips had the same result. Using this example, show that marginal independence for each pair of three variables does not imply that the variables are mutually independent.

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