Suppose one has a bunch of drugs  d_1, \dots , d_n that have similar effects (e.g. they all treat the flu). But suppose that  d_t where  t \in \{1, \dots , n \} has the highest response rate. In other words,  d_t is chosen to be the drug that combats the flu (even though all the others do as well). Is it the case that  d_t will always mask the effects of the rest of the drugs? How does  I/H respond in this situation? Note that  I is the mutual information and  H is the joint entropy. In other words, we are considering

 \frac{I(X,Y)}{H(X,Y)} = \frac{\sum_{x,y} p(x,y) \log \frac{p(x,y)}{p(x)p(y)}}{\sum_{x,y} p(x,y) \log p(x,y)}