For the Transition Matrix, Find the Probability That State 2

Multiple Choice

For the transition matrix, find the probability that state 2 changes to state 4 after 5 repetitions of the experiment.
- $\left[\begin{array}{lllll}0.1 & 0.1 & 0.1 & 0.2 & 0.5 \\ 0.2 & 0.1 & 0.1 & 0.1 & 0.5 \\ 0.1 & 0.2 & 0.3 & 0.2 & 0.2 \\ 0.2 & 0.2 & 0.1 & 0.4 & 0.1 \\ 0.1 & 0.1 & 0.3 & 0.2 & 0.3\end{array}\right]$

A) 0 00032
B) 0.13502
C) 0.23194
D) None of these