Hi,

I've just learned about how to calculate probabilities of certain problems (usually with cyclic states) using systems of linear equations (LIM.

Now, facing a harder problem, I have to calculate an expected value in the same fashion. To calculate simple probabilities, I assume that every variable in the system is the probability of some event (in LIM above, I supposed that an variable x[i] is the probability to go from node i to node 300).

How to build a system of equations to get an expected value ?

Link to the problem

Thank you