The design of this page allows you to enter frequency data into the transiton matrix. For example, suppose that we are tracking 100 individuals that are in the states: (1) free, (2) in jail, and (3) on parol. Furthermore, assume that at some point in time there are 90, 5, and 5 individuals in these states. Finally assume that we know that after a certain amoung time, 85 of the 90 free individuals are still free, and 5 are in jail. We would enter 85, 5 and 0 into the first row of the matrix. A second row of 0, 3, 2 would indicate that two of the jailed individuals would go on parol, while the other three were still in jail. Finally assume that of the five on parol, three stay on parol, one is free and the fifth is back in jail (row three: 1, 1, 3). Try this example and see that in the long run roughly 65 individuals will be free if the transition ratios stay constant.
An state that is not exited when it is entered is called an "absorbing state."