In a matrix of transition probabilities
A)the probabilities for any column will sum to 1.
B)the probabilities for any row will sum to 1.
C)the probabilities for any column are mutually exclusive and collectively exhaustive.
D)the probabilities of all columns will sum to 1.

Question

Quizplus · Accepted Answer

The probabilities for any row represent the probability of transitioning from one state to all possible states in the next time step. Therefore, they must add up to 1 since the probability of transitioning to any state is mutually exclusive and collectively exhaustive. The probabilities for any column represent the probabilities of transitioning from all possible states in the previous time step to a specific state in the current time step, so they do not necessarily add up to 1.

In a Matrix of Transition Probabilities