List the possible states at a generation and lable them,

Thus we could take state:

1: aa,aa

2: aa,ab

3: aa,bb

4: ab,ab

5: ab,bb

6: bb,bb

Thus our state vector

is six dimensional with the probability of the state

being

.

Now we need to compile the transition matrix

, where

is the probability

of ending in state

when we start in state

.

An absorbing state is one which once you get into it you cannot leave it, so

from what we know about the model we know that state 1:aa,aa and state

6: bb, bb are absorbing, and the associated element of

corresponding to

the transitions from 1 to 1 is

, and from 6 to 6 is also

.

RonL