l to 8. Assume our probability transition matrix is: <span class="math display">\[P = \begin{bmatrix}
    0.33 &amp; 0.66 &amp; 0     &amp; 0   &amp; 0    &amp; 0     &amp; 0    &amp; 0 \\
    0.33 &amp; 0.33 &amp; 0.33  &amp; 0   &amp; 0    &amp; 0     &amp; 0    &amp; 0 \\
    0    &amp; 0.33 &amp; 0.33 &amp; 0.33 &amp; 0    &amp; 0     &amp; 0    &amp; 0 \\
    0    &amp; 0    &amp; 0.33 &amp; 0.33 &amp; 0.33 &amp; 0     &amp; 0    &amp; 0 \\
    0    &amp; 0    &amp; 0    &amp; 0.33 &amp; 0.33 &amp; 0.3