Given the probability matrix $P$ with states $s_1...s_5$ where $s_1$ and $s_5$ are absorbing
$$ P = \left[ \begin{matrix} 1 & 0.7 & 0 & 0 & 0 \\ 0 & 0 & 0.5 & 0 & 0 \\ 0 & 0.3 & 0 & 0.65 & 0 \\ 0 & 0 & 0.5 & 0 & 0 \\ 0 & 0 & 0 & 0.35 & 1 \end{matrix} \right] $$
I am trying to find the probability of the process starting at $s_2...s_4$ being absorbed by one of the absorbing states given infinite steps. Since $s_1$ and $s_5$ are absorbing states, after infinite steps the process will end up in either of the states so the sum of the two probabilities must equal one, but how can we find the distribution of the two states?