Marginal distributions arent the whole story Here are the row and column totals for a

QUESTION:

Here are the row and column totals for a two-way table with two rows and two columns:

\(\begin{array}{ll|r} a & b & 50 \\ c & d & 50 \\ \hline 60 & 40 & 100 \end{array}\)

Find two different sets of counts a, b, c, and d for the body of the table that give these same totals. This shows that the relationship between two variables cannot be obtained from the two individual distributions of the variables.