Write down the transition matrix associated with the given state transition diagram. $Write down the transition matrix associated with the given state transition diagram. A = B = C = \frac { 1 } { 3 } , D = E = H = \frac { 2 } { 3 } A) P = \left[ \begin{array} { c c c c c } 1 & 0 & 0 & 0 & 0 \\ \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } & 0 & 0 \\ 0 & \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } & 0 \\ 0 & 0 & \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } \\ 0 & 0 & 0 & 0 & 1 \end{array} \right] B) P = \left[ \begin{array} { c c c c c } 1 & 0 & 0 & 0 & 0 \\ \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } & 0 & 0 \\ 0 & \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } & 0 \\ 0 & 0 & \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } \\ 0 & 0 & 0 & 1 & 0 \end{array} \right] C) P = \left[ \begin{array} { c c c c c } 1 & 0 & 0 & 0 & 0 \\ \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 & 0 \\ 0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 \\ 0 & 0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } \\ 0 & 0 & 0 & 1 & 0 \end{array} \right] D) P = \left[ \begin{array} { c c c c c } 0 & 1 & 0 & 0 & 0 \\ \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 & 0 \\ 0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 \\ 0 & 0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } \\ 0 & 0 & 0 & 1 & 0 \end{array} \right] E) P = \left[ \begin{array} { c c c c c } 1 & 0 & 0 & 0 & 0 \\ \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 & 0 \\ 0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 \\ 0 & 0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } \\ 0 & 0 & 0 & 0 & 1 \end{array} \right]$

A = B = C = \frac { 1 } { 3 }

D = E = H = \frac { 2 } { 3 }

P = \left[ \begin{array} { c c c c c } 1 & 0 & 0 & 0 & 0 \\\frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } & 0 & 0 \\0 & \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } & 0 \\0 & 0 & \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } \\0 & 0 & 0 & 0 & 1\end{array} \right]

P = \left[ \begin{array} { c c c c c } 1 & 0 & 0 & 0 & 0 \\\frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } & 0 & 0 \\0 & \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } & 0 \\0 & 0 & \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 } \\0 & 0 & 0 & 1 & 0\end{array} \right]

P = \left[ \begin{array} { c c c c c } 1 & 0 & 0 & 0 & 0 \\\frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 & 0 \\0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 \\0 & 0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } \\0 & 0 & 0 & 1 & 0\end{array} \right]

P = \left[ \begin{array} { c c c c c } 0 & 1 & 0 & 0 & 0 \\\frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 & 0 \\0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 \\0 & 0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } \\0 & 0 & 0 & 1 & 0\end{array} \right]

P = \left[ \begin{array} { c c c c c } 1 & 0 & 0 & 0 & 0 \\\frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 & 0 \\0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } & 0 \\0 & 0 & \frac { 1 } { 3 } & 0 & \frac { 2 } { 3 } \\0 & 0 & 0 & 0 & 1\end{array} \right]

A Pair of Dice Is Cast, and the Number That 23\frac { 2 } { 3 }32​

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A Pair of Dice Is Cast, and the Number That $\frac { 2 } { 3 }$

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