(Solved):
A die-rolling game uses a 4 -square grid. The squares are designated clockwise as \( \mathrm{A}, \ ...
A die-rolling game uses a 4 -square grid. The squares are designated clockwise as \( \mathrm{A}, \mathrm{B} \), \( C \), and \( D \) with monetary rewards of \( \$ 4,-\$ 2,-\$ 6 \), and \( \$ 9 \), respectively. Starting at square \( A \), roll the die to determine the next square to move to in a clockwise direction. For example, if the die shows 2 , we move to square \( \mathrm{C} \). The game is repeated using the last square as a starting point. Express the problem as a Markov chain.