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Given I have a state transition matrix where we move from state to state by the roll of a die, with 13 in-game states plus states 14, 15 are the two end game states (14 one outcome, 15 another), how do I compute the total probability that say 14 will happen? If I sum the column 14 and 15 shouldn't it come to 1? There are also the following properties: we do not move backward and we can only visit a state one time.

image of matrix

acidsyzygy
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    Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or closed. To prevent that, please [edit] the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers. – José Carlos Santos May 29 '23 at 07:34

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