Find the Requested Long-Range Probabilities Based on the Transition Matrix $[0.5560 .444]$

Multiple Choice

Find the requested long-range probabilities based on the transition matrix or data given.
-Weather is classified as sunny or cloudy in a certain place. The probability that it will be sunny on a given day depends on whether it was sunny the previous day. The transition matrix is given below. Find the long-range prediction for the proportion of sunny and cloudy days.

A) $[0.5560 .444]$
B) $[0.4440 .556]$
C) $[0.6000 .400]$
D) $\left[\begin{array}{ll}0.570 & 0.430\end{array}\right]$