Margin Class Probability

pi∙:=P(X∈Ii)=∑j=1spijp_{i \bullet}:=\mathbb{P}\left(X \in I_i\right)=\sum_{j=1}^s p_{i j} p∙j:=P(Y∈Jj)=∑i=1rpijp_{\bullet j}:=\mathbb{P}\left(Y \in J_j\right)=\sum_{i=1}^r p_{i j}