Just so you know, there are two columns of Y subscript 3s in the first joint distribution.
This typo is still there.
Then if and only if the joint distribution of Y and Z is as follows, there is zero mutual information between Y and Z: Z1Y1: 3⁄16 Z1Y2: 3⁄32 Z1Y3: 3⁄64 Z1Y3: 3⁄64 Z2Y1: 5⁄16 Z2Y2: 5⁄32 Z2Y3: 5⁄64 Z2Y3: 5⁄64
Then if and only if the joint distribution of Y and Z is as follows, there is zero mutual information between Y and Z:
Z1Y1: 3⁄16 Z1Y2: 3⁄32 Z1Y3: 3⁄64 Z1Y3: 3⁄64
Z2Y1: 5⁄16 Z2Y2: 5⁄32 Z2Y3: 5⁄64 Z2Y3: 5⁄64
Fourth column has misnumbered subscripts.
Just so you know, there are two columns of Y subscript 3s in the first joint distribution.
This typo is still there.
Fourth column has misnumbered subscripts.