Write Down the Transition Matrix Associated with the Given State $A = \frac { 1 } { 4 }$

Multiple Choice

Write down the transition matrix associated with the given state transition diagram below.
$A = \frac { 1 } { 4 }$ , $B = \frac { 3 } { 4 }$ , $C = \frac { 1 } { 3 }$ , $D = \frac { 2 } { 3 }$

A) $P = \left[ \begin{array} { l l } \frac { 1 } { 4 } & \frac { 3 } { 4 } \\\frac { 3 } { 4 } & \frac { 3 } { 3 }\end{array} \right]$
B) $P = \left[ \begin{array} { l l } \frac { 1 } { 4 } & \frac { 3 } { 4 } \\\frac { 2 } { 3 } & \frac { 1 } { 3 }\end{array} \right]$
C) $P = \left[ \begin{array} { l l } \frac { 3 } { 4 } & \frac { 1 } { 4 } \\\frac { 1 } { 3 } & \frac { 2 } { 3 }\end{array} \right]$
D) $P = \left[ \begin{array} { l l } \frac { 3 } { 4 } & \frac { 1 } { 4 } \\\frac { 2 } { 3 } & \frac { 1 } { 4 }\end{array} \right]$
E) $P = \left[ \begin{array} { l l } \frac { 1 } { 3 } & \frac { 3 } { 4 } \\\frac { 2 } { 3 } & \frac { 1 } { 4 }\end{array} \right]$