Originally Posted by

**CaptainBlack** 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 $\displaystyle x$ is six dimensional with the probability of the state

$\displaystyle i$ being $\displaystyle x_i$.

Now we need to compile the transition matrix $\displaystyle A$, where $\displaystyle A_{i,j}$ is the probability

of ending in state $\displaystyle i$ when we start in state $\displaystyle j$.

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 $\displaystyle A$ corresponding to

the transitions from 1 to 1 is $\displaystyle 1$, and from 6 to 6 is also $\displaystyle 1$.

RonL