If we have 52 cards, 26 red and 26 black, and we take out one card at a time (and don't return it). Xi is the color of the card i. What is H(X1,X2,X3...X52)?
I tried with H(X1,X2,X3) or I(X1,X2,X3) to see if any parameters gets canceled by one another, but couldn't find any combinations that's "easy to calculate".
A simple argument should allow you to assert that $(X_1,X_2,\dots,X_{52})$ is unifom on $\binom{52}{26}$ issues, therefore its entropy is easy to compute.