Let XXX be a random variable such that P(X=0)=0.5,P(X=1)=0.5P(X=0)=0.5, P(X=1)=0.5P(X=0)=0.5,P(X=1)=0.5. What is the entropy H(X)H(X)H(X) in bits?
000
0.50.50.5
111
0.750.750.75