Let $X$ be a sequence of discrete values from a finite set $V$. Let $A$ be the transition matrix computed by counting instances of $V_i \rightarrow V_j$ from the sequence $X$. Hence, $P(X_{n+1} = V_i | X_n = V_j) = A(i,j)$.
Now, let the events $A = [X_{n+1} = V_i]$ and $B = [X_n = V_j]$. My question is as follows: is $P(A) = P(B)$?