Given a markov chain with states {$\displaystyle e_1,e_2,e_5$} and the transition probability matrix

$\displaystyle P = \begin{bmatrix}0.2 & 0.8 & 0\\1 & 0 & 0\\0.7 & 0 & 0.3\end{bmatrix}$

which on of the following is false?

a) $\displaystyle e_1$ communicates with $\displaystyle e_2$

b) $\displaystyle e_1$ is accessible from $\displaystyle e_3$

c) $\displaystyle e_3$ communicates with $\displaystyle e_1$

d) $\displaystyle e_2$ is accessible from $\displaystyle e_3$