Let the state space Ω={1,2,3,4,5,6}.
Let X,Y,Z be three random variables.
X=1 if the state is an odd number(1, 3, or
5), X=0 otherwise.
Y=1 if the state is an even number(2, 4, or
6), Y=0 otherwise.
Z=1 if the state is strictly smaller than
5, Z=0 otherwise.