Response to the following problem:
Two binary random variables X and Y are distributed according to the joint distributions P(X = Y = 0) = P(X = 0, Y = 1) = P(X = Y = 1) = 1/3 . Compute H(X), H(Y ), H(X|Y ), H(Y |X), and H(X, Y ).
Make sure you use enough details to support your answer.