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(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

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.


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The problem can be expressed as a Markov chain where the states are the four squares, A, B, C, and D, and the transition probabilities are determined
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